anonymous
  • anonymous
how do you do 12x^2-8x-15=0?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Look for two numbers that multiply to -180 and add to -8 (-18 and 10). then factor by grouping and finally use the zero factor property.
anonymous
  • anonymous
i got (x^2+10) (-18-180) =0
anonymous
  • anonymous
Close just remember that when you rewrite it, it is x^2+10x-18x-180 and then factor in groups

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anonymous
  • anonymous
(12x^2+10x)+(-18x-180) You have this first, now can you factor out the like terms in each set of brackets?
anonymous
  • anonymous
3x? is the like term?
anonymous
  • anonymous
no, for the first bracket 2x will be the like term because 2x goes into 12x^2 and 10x
anonymous
  • anonymous
Sorry I have a typo it should be -15 not 180
anonymous
  • anonymous
You want to split the middle term of 12x^2-8x-15 as 12x^2-18x+10x-15
anonymous
  • anonymous
for the second brackets the common factor would be 3 right?
anonymous
  • anonymous
-3?
anonymous
  • anonymous
Correct -3 :)
anonymous
  • anonymous
so, is that the answer? -3 and 2? Or i have to do more? Because of the 0?
anonymous
  • anonymous
So far we have this 2x(6x+5)-(6x+5)=0 We can factor the 6x+5 to get (6x+5)(2x-1)=0 Then we can solve for x
anonymous
  • anonymous
What answers do you get?
anonymous
  • anonymous
x=5/6 and x=-1/2???
anonymous
  • anonymous
that's not right is it?
anonymous
  • anonymous
No, right numbers just the wrong sign. for the 2x-1 bracket I have 2x-1=0 2x=1 x=1/2 Do you see this? 6x+5=0 6x=-5 x=-5/6
anonymous
  • anonymous
Really close though, good work
anonymous
  • anonymous
so i basically got it right, i just had to switch the negative and pos. signs? Thanks for helping me!
anonymous
  • anonymous
No worries :)
anonymous
  • anonymous
do you think you could help me with x^2-29x+204?
anonymous
  • anonymous
sure I posted on that question lets move to it now

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