864=x(48-2x)(16-2x)

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Solution for 864=x(48-2x)(16-2x) equation:


Simplifying
864 = x(48 + -2x)(16 + -2x)

Multiply (48 + -2x) * (16 + -2x)
864 = x(48(16 + -2x) + -2x * (16 + -2x))
864 = x((16 * 48 + -2x * 48) + -2x * (16 + -2x))
864 = x((768 + -96x) + -2x * (16 + -2x))
864 = x(768 + -96x + (16 * -2x + -2x * -2x))
864 = x(768 + -96x + (-32x + 4x2))

Combine like terms: -96x + -32x = -128x
864 = x(768 + -128x + 4x2)
864 = (768 * x + -128x * x + 4x2 * x)
864 = (768x + -128x2 + 4x3)

Solving
864 = 768x + -128x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
864 + -768x + 128x2 + -4x3 = 768x + -768x + -128x2 + 128x2 + 4x3 + -4x3

Combine like terms: 768x + -768x = 0
864 + -768x + 128x2 + -4x3 = 0 + -128x2 + 128x2 + 4x3 + -4x3
864 + -768x + 128x2 + -4x3 = -128x2 + 128x2 + 4x3 + -4x3

Combine like terms: -128x2 + 128x2 = 0
864 + -768x + 128x2 + -4x3 = 0 + 4x3 + -4x3
864 + -768x + 128x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
864 + -768x + 128x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(216 + -192x + 32x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(216 + -192x + 32x2 + -1x3)' equal to zero and attempt to solve: Simplifying 216 + -192x + 32x2 + -1x3 = 0 Solving 216 + -192x + 32x2 + -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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