What are the solutions to the quadratic equation 5x2 + 60x = 0? x = 0 and x = −12 x = 0 and x = 12 x = 5 and x = −12 x = 5 and x = 12

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What are the solutions to the quadratic equation 5x2 + 60x = 0? x = 0 and x = −12 x = 0 and x = 12 x = 5 and x = −12 x = 5 and x = 12

Mathematics
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Do you have an idea on how to do this?
I think I do somewhat
factor out the like terms for \[5x^2+60x=0\]

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Aren't I supposed to find what 5^2 and 60 have in common or something like that or I am mistaken ._.
yeah.... you are supposed to find what they have in common and yank em out.
Well in order to get 0 on the right we know that x=0 in one case because substituting 0 in we will get 0 on the left
To find the second number you have to factor out what you can so what can you factor out?
let's split this up for a sec \[5x^2+(5)(12)x=0\] ok what number do they have in common and what variable do they have in common?
They have 5 and 12 in common.... 5 and 12 have..... 3 in common I guess.... since 3 times 3 is 12 and 3 +2 = 5
They both have 5x in common so you can factor that out
So 5x(x+12)=0
how is 3 x 3 12? 3 x 3 = 9
I meant 3 times 4 sorry
To get the inside the brackets equal to 0 how do you get that?
well 12 x 5 = 60. when I split it up we have a 5 for the number in common and x for the variable in common so 5x gets yanked out and we're left with 5x(x+12)=0 now we solve for x for these two cases 5x = 0 and x +12 = 0
By subtracting because we want less?
Solve both for x
x = 0 its so simple ._.
@pooja195 yes solve both equations for x
5x = 0 (divide) x +12 = 0 (sibtract)
(X+12)=0 you want some number to be negative so it equals 0
we want x by itself for x+12=0 so we subtract both sides by 12
The answer is still zero since 0 minus 12 is 12 and 12 divided by 0 is ZERO so both answers are Zero :D
omg I am facepalming over this.
there are two solutions of x.
we got x = 0 for 5x=0 now solve x+12 = 0 by subtracting 12 on both sides.
Its 11pm I have had a long day I am already bad at math add me doing this half asleep.....
I DID!
0-12?
X+12=0 x+12-12=0-12
GOD ITS LIKE 6th grade ALGEBRA! 12 minus zero is 12
Zero minus twelve not twelve minus zero
Well Negative 12
thank you @taramgrant0543664
But it is still 12
Just on the left side XD
Zero minus twelve is negative twelve
I just said that ._.
5x(x+12) = 0 5x = 0 divide 5 on both sides and we have x = 0 x+12 = 0 -12 -12 x = -12
It's not twelve it's negative twelve
Well sorry! The answer is A i finally finished the test thanks and sorry for being a freaking idiot..... its just late and I have been doing work all day and by now my head is just on fire ._. I am going to bed good night
@UsukiDoll Sarcasm is one of my many flaws its an aspect of my personality I have to fix...... I am very sorry if I was a jerk or I offended you in any way thanks for the help and patients both you and @taramgrant0543664
ah... that's ok. I take meds in real life or get high blood pressure so I type some crazy stuff sometimes too. XD
\(\Large 5x^2 + 60x=0\) Factor out the common factor 5x: \(\Large \color{red}{5x} \cdot x + 12 \cdot \color{red}{5x} = 0\) \(\Large 5x(x + 12) = 0\) Divide both sides by 5: \(\Large x(x + 12) = 0\) Set both factors equal to 0: \(\Large x = 0\) or \(\Large x + 12 = 0\) Solve both equations for x: \(\Large x = 0\) or \(\Large x = -12\)
lol ok
meow ^.^
Oh and I got an 89% in the test! XD
So double thanks now good night and bye

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