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

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Solution for 512=x(20-2x)(18-2x) equation:


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

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

Combine like terms: -40x + -36x = -76x
512 = x(360 + -76x + 4x2)
512 = (360 * x + -76x * x + 4x2 * x)
512 = (360x + -76x2 + 4x3)

Solving
512 = 360x + -76x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
512 + -360x + 76x2 + -4x3 = 360x + -360x + -76x2 + 76x2 + 4x3 + -4x3

Combine like terms: 360x + -360x = 0
512 + -360x + 76x2 + -4x3 = 0 + -76x2 + 76x2 + 4x3 + -4x3
512 + -360x + 76x2 + -4x3 = -76x2 + 76x2 + 4x3 + -4x3

Combine like terms: -76x2 + 76x2 = 0
512 + -360x + 76x2 + -4x3 = 0 + 4x3 + -4x3
512 + -360x + 76x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
512 + -360x + 76x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(128 + -90x + 19x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(128 + -90x + 19x2 + -1x3)' equal to zero and attempt to solve: Simplifying 128 + -90x + 19x2 + -1x3 = 0 Solving 128 + -90x + 19x2 + -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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