=2x^2+12x

Solution for =2x^2+12x equation:

Simplifying
0 = 2x2 + 12x

Reorder the terms:
0 = 12x + 2x2

Solving
0 = 12x + 2x2

Solving for variable 'x'.
Remove the zero:
-12x + -2x2 = 12x + 2x2 + -12x + -2x2

Reorder the terms:
-12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
-12x + -2x2 = 0 + 2x2 + -2x2
-12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(6 + x) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {0, -6}