SOLUTION: Factoring Trinomials x^2+12x+27=0 x^2+6x�7=0 12m^2+24m+12=0 Help please.

Question 684653: Factoring Trinomials
x^2+12x+27=0
x^2+6x�7=0
12m^2+24m+12=0

Help please.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x^2+12x+27=0

(x+9)(x+3) = 0 ... Note: 9 and 3 both add to 12 and multiply to 27 at the same time

x+9=0 or x+3=0

x=-9 or x = -3

So the solutions are x=-9 or x = -3

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x^2+6x�7=0

(x+7)(x-1) = 0 ... Note: 7 and -1 both add to 6 and multiply to -7 at the same time

x+7 = 0 or x-1 = 0

x = -7 or x = 1

So the solutions are x = -7 or x = 1
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12m^2+24m+12=0

12(m^2+2m+1)=0

12(m+1)(m+1)=0 ... Note: 1 and 1 both add to 2 and multiply to 1 at the same time

(m+1)(m+1)=0

m+1 = 0 or m+1 = 0

m = -1 or m = -1

So the only solution is m = -1
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