100=(15-2x)(12-2x)(x)

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Solution for 100=(15-2x)(12-2x)(x) equation: 


Simplifying
100 = (15 + -2x)(12 + -2x)(x)

Reorder the terms for easier multiplication:
100 = x(15 + -2x)(12 + -2x)

Multiply (15 + -2x) * (12 + -2x)
100 = x(15(12 + -2x) + -2x * (12 + -2x))
100 = x((12 * 15 + -2x * 15) + -2x * (12 + -2x))
100 = x((180 + -30x) + -2x * (12 + -2x))
100 = x(180 + -30x + (12 * -2x + -2x * -2x))
100 = x(180 + -30x + (-24x + 4x2))

Combine like terms: -30x + -24x = -54x
100 = x(180 + -54x + 4x2)
100 = (180 * x + -54x * x + 4x2 * x)
100 = (180x + -54x2 + 4x3)

Solving
100 = 180x + -54x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
100 + -180x + 54x2 + -4x3 = 180x + -180x + -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: 180x + -180x = 0
100 + -180x + 54x2 + -4x3 = 0 + -54x2 + 54x2 + 4x3 + -4x3
100 + -180x + 54x2 + -4x3 = -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: -54x2 + 54x2 = 0
100 + -180x + 54x2 + -4x3 = 0 + 4x3 + -4x3
100 + -180x + 54x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
100 + -180x + 54x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + -90x + 27x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(50 + -90x + 27x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
50 + -90x + 27x2 + -2x3 = 0

Solving
50 + -90x + 27x2 + -2x3 = 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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