180=(2x+2)(2x+4)(x)

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Solution for 180=(2x+2)(2x+4)(x) equation: 


Simplifying
180 = (2x + 2)(2x + 4)(x)

Reorder the terms:
180 = (2 + 2x)(2x + 4)(x)

Reorder the terms:
180 = (2 + 2x)(4 + 2x)(x)

Reorder the terms for easier multiplication:
180 = x(2 + 2x)(4 + 2x)

Multiply (2 + 2x) * (4 + 2x)
180 = x(2(4 + 2x) + 2x * (4 + 2x))
180 = x((4 * 2 + 2x * 2) + 2x * (4 + 2x))
180 = x((8 + 4x) + 2x * (4 + 2x))
180 = x(8 + 4x + (4 * 2x + 2x * 2x))
180 = x(8 + 4x + (8x + 4x2))

Combine like terms: 4x + 8x = 12x
180 = x(8 + 12x + 4x2)
180 = (8 * x + 12x * x + 4x2 * x)
180 = (8x + 12x2 + 4x3)

Solving
180 = 8x + 12x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
180 + -8x + -12x2 + -4x3 = 8x + -8x + 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: 8x + -8x = 0
180 + -8x + -12x2 + -4x3 = 0 + 12x2 + -12x2 + 4x3 + -4x3
180 + -8x + -12x2 + -4x3 = 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: 12x2 + -12x2 = 0
180 + -8x + -12x2 + -4x3 = 0 + 4x3 + -4x3
180 + -8x + -12x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
180 + -8x + -12x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(45 + -2x + -3x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(45 + -2x + -3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
45 + -2x + -3x2 + -1x3 = 0

Solving
45 + -2x + -3x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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