Answer: The answer is x=0
Step-by-step 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
