Question 487031: I am stuck with this one.I am suppose to factor this one.
c squared + 6x + 9
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! hopefully you mean x^2 + 6x + 9
since 3 * 3 = 9 and 3 + 3 = 6, then your factors probably be:
(x + 3) and (x + 3)
your equation is:
x^2 + 6x + 9
set it equal to 0 to get:
x^2 + 6x + 9 = 0
now factor it to get:
(x + 3) * (x + 3) = 0
this equation will be equal to 0 if:
(x + 3) = 0.
when (x + 3) = 0, then:
x = -3
the solution to your equation is x = -3.
if you want to confirm that solution is valid, then replace x with -3 in the original equation and solve.
you will get:
x^2 + 6x + 9 = 0 becomes:
(-3)^2 + 6*(-3) + 9 = 0 which becomes:
9 - 18 + 9 = 0 which becomes:
18 - 18 = 0 which becomes:
0 = 0
this confirms the value of x = -3 is a solution to your equation.
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