384=(x)(3x-12)(x-4)

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Solution for 384=(x)(3x-12)(x-4) equation: 


Simplifying
384 = (x)(3x + -12)(x + -4)

Reorder the terms:
384 = x(-12 + 3x)(x + -4)

Reorder the terms:
384 = x(-12 + 3x)(-4 + x)

Multiply (-12 + 3x) * (-4 + x)
384 = x(-12(-4 + x) + 3x * (-4 + x))
384 = x((-4 * -12 + x * -12) + 3x * (-4 + x))
384 = x((48 + -12x) + 3x * (-4 + x))
384 = x(48 + -12x + (-4 * 3x + x * 3x))
384 = x(48 + -12x + (-12x + 3x2))

Combine like terms: -12x + -12x = -24x
384 = x(48 + -24x + 3x2)
384 = (48 * x + -24x * x + 3x2 * x)
384 = (48x + -24x2 + 3x3)

Solving
384 = 48x + -24x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
384 + -48x + 24x2 + -3x3 = 48x + -48x + -24x2 + 24x2 + 3x3 + -3x3

Combine like terms: 48x + -48x = 0
384 + -48x + 24x2 + -3x3 = 0 + -24x2 + 24x2 + 3x3 + -3x3
384 + -48x + 24x2 + -3x3 = -24x2 + 24x2 + 3x3 + -3x3

Combine like terms: -24x2 + 24x2 = 0
384 + -48x + 24x2 + -3x3 = 0 + 3x3 + -3x3
384 + -48x + 24x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
384 + -48x + 24x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(128 + -16x + 8x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(128 + -16x + 8x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
128 + -16x + 8x2 + -1x3 = 0

Solving
128 + -16x + 8x2 + -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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