648=(30-2x)(24-2x)(x)

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Solution for 648=(30-2x)(24-2x)(x) equation: 


Simplifying
648 = (30 + -2x)(24 + -2x)(x)

Reorder the terms for easier multiplication:
648 = x(30 + -2x)(24 + -2x)

Multiply (30 + -2x) * (24 + -2x)
648 = x(30(24 + -2x) + -2x * (24 + -2x))
648 = x((24 * 30 + -2x * 30) + -2x * (24 + -2x))
648 = x((720 + -60x) + -2x * (24 + -2x))
648 = x(720 + -60x + (24 * -2x + -2x * -2x))
648 = x(720 + -60x + (-48x + 4x2))

Combine like terms: -60x + -48x = -108x
648 = x(720 + -108x + 4x2)
648 = (720 * x + -108x * x + 4x2 * x)
648 = (720x + -108x2 + 4x3)

Solving
648 = 720x + -108x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
648 + -720x + 108x2 + -4x3 = 720x + -720x + -108x2 + 108x2 + 4x3 + -4x3

Combine like terms: 720x + -720x = 0
648 + -720x + 108x2 + -4x3 = 0 + -108x2 + 108x2 + 4x3 + -4x3
648 + -720x + 108x2 + -4x3 = -108x2 + 108x2 + 4x3 + -4x3

Combine like terms: -108x2 + 108x2 = 0
648 + -720x + 108x2 + -4x3 = 0 + 4x3 + -4x3
648 + -720x + 108x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
648 + -720x + 108x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(162 + -180x + 27x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(162 + -180x + 27x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
162 + -180x + 27x2 + -1x3 = 0

Solving
162 + -180x + 27x2 + -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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