144=(20-2x)(10-2x)(x)

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Solution for 144=(20-2x)(10-2x)(x) equation: 


Simplifying
144 = (20 + -2x)(10 + -2x)(x)

Reorder the terms for easier multiplication:
144 = x(20 + -2x)(10 + -2x)

Multiply (20 + -2x) * (10 + -2x)
144 = x(20(10 + -2x) + -2x * (10 + -2x))
144 = x((10 * 20 + -2x * 20) + -2x * (10 + -2x))
144 = x((200 + -40x) + -2x * (10 + -2x))
144 = x(200 + -40x + (10 * -2x + -2x * -2x))
144 = x(200 + -40x + (-20x + 4x2))

Combine like terms: -40x + -20x = -60x
144 = x(200 + -60x + 4x2)
144 = (200 * x + -60x * x + 4x2 * x)
144 = (200x + -60x2 + 4x3)

Solving
144 = 200x + -60x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
144 + -200x + 60x2 + -4x3 = 200x + -200x + -60x2 + 60x2 + 4x3 + -4x3

Combine like terms: 200x + -200x = 0
144 + -200x + 60x2 + -4x3 = 0 + -60x2 + 60x2 + 4x3 + -4x3
144 + -200x + 60x2 + -4x3 = -60x2 + 60x2 + 4x3 + -4x3

Combine like terms: -60x2 + 60x2 = 0
144 + -200x + 60x2 + -4x3 = 0 + 4x3 + -4x3
144 + -200x + 60x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
144 + -200x + 60x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + -50x + 15x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(36 + -50x + 15x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
36 + -50x + 15x2 + -1x3 = 0

Solving
36 + -50x + 15x2 + -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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