hi im having trouble understanding variables and solving equation. i need to simplify this
-4y(3y)-5+2(5y+7) can anyone help

- anonymous

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- anonymous

You need to distribute through to simplify. What do you not understand?

- anonymous

all of it im new at this i get confused on were to stsrt

- anonymous

Ok. Well when you multiply variables the format is as follows. Let * be multiplication. \[x*x=x^2\] and \[x*x*x=x^3\] and so on.

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- anonymous

ok

- anonymous

-12y²-5+10y+14

- anonymous

So maybe it's easier to work through the problem, or just spit out the answer like what has been done already.

- anonymous

cyter how did you come up with that . if that is the answer fine but that dose not tell me how to do it

- anonymous

yes i would like to work through it step by step please so i can under stand it better

- anonymous

Ok so the first part you have -4y(3y). The parenthesis just separate quantities and mean to multiple. So -4 times 3 give -12 and y times y gives y². Thus you get -12y² for the first part. Does this make sense?

- anonymous

Multiply* not multiple.

- anonymous

sorry thats wrong -4(3y)-5+2(5y+7) this is the correct one

- anonymous

Ok well you do the same process. So -4(3y) gives -12y. All I did was multiple what is in parenthesis by -4. Then you subtract 5 giving you -12y-5+2(5y+7). To simplify the 2(5y+7) you multiply what's in parenthesis by what is right outside the parenthesis. So 2 times (5y+7). So what does 2(5y+7) equal when you multiply it out?

- anonymous

10+7=17y

- anonymous

Not quite. 2(5y+7)=10y+14. You multiply each thing in the parenthesis by 2.

- anonymous

2*5=10 &2*7=14

- anonymous

So once we have simplified all parts we get: -12y-5+10y+14. The last step is to add things that look alike.

- anonymous

You are correct above. But you can't forget the y. The y is a variable and the 5 is a coefficient. When you multiply variables by a number you just get that many variables. So 3 times y gives 3y, 7 times x gives 7x.

- anonymous

-12y+10y +14==12y ?

- anonymous

Ok so not sure if you were understanding how we got to -12y-5+10y+14 but if we do continue when I say add like terms I mean add any regular numbers so like -5 and 14 to get 9 and add any variables that look the same. -12y and 10y look the same. Both have a y and both have coefficients. So -12y+10y=-2y I added the -12 and 10 and just kept the y. Final answer should be -2y+9

- anonymous

ok can we try another one

- anonymous

Sure.

- anonymous

-10+4(-3b+3)+2(6b-1)

- anonymous

Now remember what I said. The number in front of the parenthesis is multiplied to each term inside the parenthesis and if there is a variable, b for example, do not leave it off.

- anonymous

okdo i start with 4*-3 or 2*6b or dose it matter

- anonymous

You can start wherever you like. I normally work from the left to the right so I don't forget anything :)

- anonymous

ok

- anonymous

4*(-3b)=12b

- anonymous

Close. Don't forget the negative sign. So -12b

- anonymous

4*3=12

- anonymous

Yes.

- anonymous

(-12b)+12+12b-11

- anonymous

should it look like that

- anonymous

or it should be a -2 at the end

- anonymous

Should be a -2 at the end and don't forget the -10 at the beginning. So after simplifying a little you get -10-12b+12+12b-2

- anonymous

now we add the like #first

- anonymous

Yes now you add the like terms.

- anonymous

-12b+12b=-24b

- anonymous

You have -12b+12b so you have a negative 12b plus a positive 12b what does that give you? Not -24b.

- anonymous

+24b

- anonymous

Nope. If you have 12 of something and then take away 12 of something you are left with zero. -12b+12b=0

- anonymous

-10+24b+12

- anonymous

-10-12b+12+12b-2=-10-12b+12b+10=0

- anonymous

rewrite ok so the answer is 0

- anonymous

Yep :)

- anonymous

one more ok

- anonymous

Ok.

- anonymous

-5(-x+2)+8(-x)+3(-2x-2)+16

- anonymous

-5*2=-10

- anonymous

no no oh -5*1=-4

- anonymous

-5*2=-10

- anonymous

-5 x -1 = 5

- anonymous

i thought that was how it went wrong rule i gess

- anonymous

Uh maybe you meant -5+1=-4 that's correct :)

- anonymous

yes

- anonymous

then-5*2=10

- anonymous

-5*2=-10 A negative number times a positive number is a negative number. A negative number times a negative number is a positive number.

- anonymous

ok -10

- anonymous

Yes.

- anonymous

so-4+-10=-14

- anonymous

should it read -14+-7+6x+6+16 i hope!!

- anonymous

i for got the perentacies around the -7 because of the two signs together

- anonymous

I get 5x-10-8x-6x-6

- anonymous

Forgot the +16 on the end. So 5x-10x-8x-6x-6+16

- anonymous

so were did i go wrong

- anonymous

doesn't (-x) mean 1

- anonymous

or -1

- anonymous

Mean 1, no. There is a 1 coefficient in front of the x. So -x is the same as -1x.

- anonymous

so wouldn't that be 8*-1x=-7

- anonymous

-7x oops

- anonymous

No. You are multiplying, not adding. 8*(-1x)=-8x if you cannot add these terms since they aren't "like" terms.

- anonymous

I'm going to go. But I will leave you with the work for the problem and maybe from what we've discussed you can figure it out.

- anonymous

ok i told you im confused haha

- anonymous

i hope so thanks for your help

- anonymous

-5(-x+2)+8(-x)+3(-2x-2)+16
5x-10-8x-6x-6+16 here I just multiplied through
-9x+0 here I added like terms (added the numbers with the x's by themselves to get -9x and then the numbers by themselves to get -10-6+16=0

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