(20-2x)(40-2x)(x)=784

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Solution for (20-2x)(40-2x)(x)=784 equation:


Simplifying
(20 + -2x)(40 + -2x)(x) = 784

Reorder the terms for easier multiplication:
x(20 + -2x)(40 + -2x) = 784

Multiply (20 + -2x) * (40 + -2x)
x(20(40 + -2x) + -2x * (40 + -2x)) = 784
x((40 * 20 + -2x * 20) + -2x * (40 + -2x)) = 784
x((800 + -40x) + -2x * (40 + -2x)) = 784
x(800 + -40x + (40 * -2x + -2x * -2x)) = 784
x(800 + -40x + (-80x + 4x2)) = 784

Combine like terms: -40x + -80x = -120x
x(800 + -120x + 4x2) = 784
(800 * x + -120x * x + 4x2 * x) = 784
(800x + -120x2 + 4x3) = 784

Solving
800x + -120x2 + 4x3 = 784

Solving for variable 'x'.

Reorder the terms:
-784 + 800x + -120x2 + 4x3 = 784 + -784

Combine like terms: 784 + -784 = 0
-784 + 800x + -120x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-196 + 200x + -30x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-196 + 200x + -30x2 + x3)' equal to zero and attempt to solve: Simplifying -196 + 200x + -30x2 + x3 = 0 Solving -196 + 200x + -30x2 + x3 = 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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