2(4x+12)2x=

Solution for 2(4x+12)2x= equation:

Simplifying
2(4x + 12) * 2x = 0

Reorder the terms:
2(12 + 4x) * 2x = 0

Reorder the terms for easier multiplication:
2 * 2x(12 + 4x) = 0

Multiply 2 * 2
4x(12 + 4x) = 0
(12 * 4x + 4x * 4x) = 0
(48x + 16x2) = 0

Solving
48x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x'.
16x(3 + x) = 0

Ignore the factor 16.
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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}