Answer: The answer is x=0
Explanation:
Rewrite the equation as a trinomial.
x 2 + 12 x + 0
Move 0 to the right-hand side.
x 2 + 12 x = 0
Divide the coefficient of the x
-term by 2, then square the result. Add the result to both sides.
12 /2 = 6 ;6^2 = 36
x 2 + 12 x + 36 = 36
Factor the perfect square trinomial
x 2 + 12 x + 36
on the left-hand side.
( x + 6 ) 2 = 36
Take the square root of both sides and solve for x .
√ ( x + 6 )^ 2 = ± √ 36 =
x+ 6 = ± 6
x = − 6 + 6 = 0
x = − 6 − 6 = − 12
Check
If x = 0 :
( 0 ) ^2 + 12 ( 0 ) = 0
0 = 0
If x = − 12 :
( − 12 ) ^2 + 12 ( − 12 ) = 0
144 − 144 = 0
0 = 0