(6x+12)(2x)=

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Solution for (6x+12)(2x)= equation: 


Simplifying
(6x + 12)(2x) = 0

Reorder the terms:
(12 + 6x)(2x) = 0

Remove parenthesis around (2x)
(12 + 6x) * 2x = 0

Reorder the terms for easier multiplication:
2x(12 + 6x) = 0
(12 * 2x + 6x * 2x) = 0
(24x + 12x2) = 0

Solving
24x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(2 + x) = 0

Ignore the factor 12.

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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {0, -2}

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