1500=(20-2x)(40-2x)(x)

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Solution for 1500=(20-2x)(40-2x)(x) equation: 


Simplifying
1500 = (20 + -2x)(40 + -2x)(x)

Reorder the terms for easier multiplication:
1500 = x(20 + -2x)(40 + -2x)

Multiply (20 + -2x) * (40 + -2x)
1500 = x(20(40 + -2x) + -2x * (40 + -2x))
1500 = x((40 * 20 + -2x * 20) + -2x * (40 + -2x))
1500 = x((800 + -40x) + -2x * (40 + -2x))
1500 = x(800 + -40x + (40 * -2x + -2x * -2x))
1500 = x(800 + -40x + (-80x + 4x2))

Combine like terms: -40x + -80x = -120x
1500 = x(800 + -120x + 4x2)
1500 = (800 * x + -120x * x + 4x2 * x)
1500 = (800x + -120x2 + 4x3)

Solving
1500 = 800x + -120x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
1500 + -800x + 120x2 + -4x3 = 800x + -800x + -120x2 + 120x2 + 4x3 + -4x3

Combine like terms: 800x + -800x = 0
1500 + -800x + 120x2 + -4x3 = 0 + -120x2 + 120x2 + 4x3 + -4x3
1500 + -800x + 120x2 + -4x3 = -120x2 + 120x2 + 4x3 + -4x3

Combine like terms: -120x2 + 120x2 = 0
1500 + -800x + 120x2 + -4x3 = 0 + 4x3 + -4x3
1500 + -800x + 120x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
1500 + -800x + 120x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(375 + -200x + 30x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(375 + -200x + 30x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
375 + -200x + 30x2 + -1x3 = 0

Solving
375 + -200x + 30x2 + -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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