126=x*(x+2)*2

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Solution for 126=x*(x+2)*2 equation: 


Simplifying
126 = x(x + 2) * 2

Reorder the terms:
126 = x(2 + x) * 2

Reorder the terms for easier multiplication:
126 = 2x(2 + x)
126 = (2 * 2x + x * 2x)
126 = (4x + 2x2)

Solving
126 = 4x + 2x2

Solving for variable 'x'.

Reorder the terms:
126 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
126 + -4x + -2x2 = 0 + 2x2 + -2x2
126 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
126 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + -2x + -1x2) = 0

Factor a trinomial.
2((7 + -1x)(9 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {7, -9}

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