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

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Solution for 2x(x+4)+12x=0 equation: 


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

Reorder the terms:
2x(4 + x) + 12x = 0
(4 * 2x + x * 2x) + 12x = 0
(8x + 2x2) + 12x = 0

Reorder the terms:
8x + 12x + 2x2 = 0

Combine like terms: 8x + 12x = 20x
20x + 2x2 = 0

Solving
20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(10 + 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {0, -10}

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