250=(24-2x)(18-2x)(x)

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Solution for 250=(24-2x)(18-2x)(x) equation:


Simplifying
250 = (24 + -2x)(18 + -2x)(x)

Reorder the terms for easier multiplication:
250 = x(24 + -2x)(18 + -2x)

Multiply (24 + -2x) * (18 + -2x)
250 = x(24(18 + -2x) + -2x * (18 + -2x))
250 = x((18 * 24 + -2x * 24) + -2x * (18 + -2x))
250 = x((432 + -48x) + -2x * (18 + -2x))
250 = x(432 + -48x + (18 * -2x + -2x * -2x))
250 = x(432 + -48x + (-36x + 4x2))

Combine like terms: -48x + -36x = -84x
250 = x(432 + -84x + 4x2)
250 = (432 * x + -84x * x + 4x2 * x)
250 = (432x + -84x2 + 4x3)

Solving
250 = 432x + -84x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
250 + -432x + 84x2 + -4x3 = 432x + -432x + -84x2 + 84x2 + 4x3 + -4x3

Combine like terms: 432x + -432x = 0
250 + -432x + 84x2 + -4x3 = 0 + -84x2 + 84x2 + 4x3 + -4x3
250 + -432x + 84x2 + -4x3 = -84x2 + 84x2 + 4x3 + -4x3

Combine like terms: -84x2 + 84x2 = 0
250 + -432x + 84x2 + -4x3 = 0 + 4x3 + -4x3
250 + -432x + 84x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
250 + -432x + 84x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(125 + -216x + 42x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(125 + -216x + 42x2 + -2x3)' equal to zero and attempt to solve: Simplifying 125 + -216x + 42x2 + -2x3 = 0 Solving 125 + -216x + 42x2 + -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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