12(6+4x)3x=

Solution for 12(6+4x)3x= equation:

Simplifying
12(6 + 4x) * 3x = 0

Reorder the terms for easier multiplication:
12 * 3x(6 + 4x) = 0

Multiply 12 * 3
36x(6 + 4x) = 0
(6 * 36x + 4x * 36x) = 0
(216x + 144x2) = 0

Solving
216x + 144x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '72x'.
72x(3 + 2x) = 0

Ignore the factor 72.
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 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, -1.5}