4000=(50-2x)(30-2x)(x)

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Solution for 4000=(50-2x)(30-2x)(x) equation: 


Simplifying
4000 = (50 + -2x)(30 + -2x)(x)

Reorder the terms for easier multiplication:
4000 = x(50 + -2x)(30 + -2x)

Multiply (50 + -2x) * (30 + -2x)
4000 = x(50(30 + -2x) + -2x * (30 + -2x))
4000 = x((30 * 50 + -2x * 50) + -2x * (30 + -2x))
4000 = x((1500 + -100x) + -2x * (30 + -2x))
4000 = x(1500 + -100x + (30 * -2x + -2x * -2x))
4000 = x(1500 + -100x + (-60x + 4x2))

Combine like terms: -100x + -60x = -160x
4000 = x(1500 + -160x + 4x2)
4000 = (1500 * x + -160x * x + 4x2 * x)
4000 = (1500x + -160x2 + 4x3)

Solving
4000 = 1500x + -160x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
4000 + -1500x + 160x2 + -4x3 = 1500x + -1500x + -160x2 + 160x2 + 4x3 + -4x3

Combine like terms: 1500x + -1500x = 0
4000 + -1500x + 160x2 + -4x3 = 0 + -160x2 + 160x2 + 4x3 + -4x3
4000 + -1500x + 160x2 + -4x3 = -160x2 + 160x2 + 4x3 + -4x3

Combine like terms: -160x2 + 160x2 = 0
4000 + -1500x + 160x2 + -4x3 = 0 + 4x3 + -4x3
4000 + -1500x + 160x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
4000 + -1500x + 160x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1000 + -375x + 40x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1000 + -375x + 40x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
1000 + -375x + 40x2 + -1x3 = 0

Solving
1000 + -375x + 40x2 + -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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