6x(4x+12)=0

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Solution for 6x(4x+12)=0 equation: 


Simplifying
6x(4x + 12) = 0

Reorder the terms:
6x(12 + 4x) = 0
(12 * 6x + 4x * 6x) = 0
(72x + 24x2) = 0

Solving
72x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x'.
24x(3 + x) = 0

Ignore the factor 24.

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}

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