2x(x+12)(x+7)=0

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Solution for 2x(x+12)(x+7)=0 equation: 


Simplifying
2x(x + 12)(x + 7) = 0

Reorder the terms:
2x(12 + x)(x + 7) = 0

Reorder the terms:
2x(12 + x)(7 + x) = 0

Multiply (12 + x) * (7 + x)
2x(12(7 + x) + x(7 + x)) = 0
2x((7 * 12 + x * 12) + x(7 + x)) = 0
2x((84 + 12x) + x(7 + x)) = 0
2x(84 + 12x + (7 * x + x * x)) = 0
2x(84 + 12x + (7x + x2)) = 0

Combine like terms: 12x + 7x = 19x
2x(84 + 19x + x2) = 0
(84 * 2x + 19x * 2x + x2 * 2x) = 0
(168x + 38x2 + 2x3) = 0

Solving
168x + 38x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(84 + 19x + x2) = 0

Factor a trinomial.
2x((12 + x)(7 + 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 '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12

Subproblem 3
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, -12, -7}

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