384=x(20-2x)(16-2x)

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Solution for 384=x(20-2x)(16-2x) equation:


Simplifying
384 = x(20 + -2x)(16 + -2x)

Multiply (20 + -2x) * (16 + -2x)
384 = x(20(16 + -2x) + -2x * (16 + -2x))
384 = x((16 * 20 + -2x * 20) + -2x * (16 + -2x))
384 = x((320 + -40x) + -2x * (16 + -2x))
384 = x(320 + -40x + (16 * -2x + -2x * -2x))
384 = x(320 + -40x + (-32x + 4x2))

Combine like terms: -40x + -32x = -72x
384 = x(320 + -72x + 4x2)
384 = (320 * x + -72x * x + 4x2 * x)
384 = (320x + -72x2 + 4x3)

Solving
384 = 320x + -72x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
384 + -320x + 72x2 + -4x3 = 320x + -320x + -72x2 + 72x2 + 4x3 + -4x3

Combine like terms: 320x + -320x = 0
384 + -320x + 72x2 + -4x3 = 0 + -72x2 + 72x2 + 4x3 + -4x3
384 + -320x + 72x2 + -4x3 = -72x2 + 72x2 + 4x3 + -4x3

Combine like terms: -72x2 + 72x2 = 0
384 + -320x + 72x2 + -4x3 = 0 + 4x3 + -4x3
384 + -320x + 72x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
384 + -320x + 72x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(96 + -80x + 18x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(96 + -80x + 18x2 + -1x3)' equal to zero and attempt to solve: Simplifying 96 + -80x + 18x2 + -1x3 = 0 Solving 96 + -80x + 18x2 + -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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