250=(20-2x)(18-2x)(x)

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Solution for 250=(20-2x)(18-2x)(x) equation: 


Simplifying
250 = (20 + -2x)(18 + -2x)(x)

Reorder the terms for easier multiplication:
250 = x(20 + -2x)(18 + -2x)

Multiply (20 + -2x) * (18 + -2x)
250 = x(20(18 + -2x) + -2x * (18 + -2x))
250 = x((18 * 20 + -2x * 20) + -2x * (18 + -2x))
250 = x((360 + -40x) + -2x * (18 + -2x))
250 = x(360 + -40x + (18 * -2x + -2x * -2x))
250 = x(360 + -40x + (-36x + 4x2))

Combine like terms: -40x + -36x = -76x
250 = x(360 + -76x + 4x2)
250 = (360 * x + -76x * x + 4x2 * x)
250 = (360x + -76x2 + 4x3)

Solving
250 = 360x + -76x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
250 + -360x + 76x2 + -4x3 = 360x + -360x + -76x2 + 76x2 + 4x3 + -4x3

Combine like terms: 360x + -360x = 0
250 + -360x + 76x2 + -4x3 = 0 + -76x2 + 76x2 + 4x3 + -4x3
250 + -360x + 76x2 + -4x3 = -76x2 + 76x2 + 4x3 + -4x3

Combine like terms: -76x2 + 76x2 = 0
250 + -360x + 76x2 + -4x3 = 0 + 4x3 + -4x3
250 + -360x + 76x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
250 + -360x + 76x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(125 + -180x + 38x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(125 + -180x + 38x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
125 + -180x + 38x2 + -2x3 = 0

Solving
125 + -180x + 38x2 + -2x3 = 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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