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

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


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

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

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

Reorder the terms for easier multiplication:
784 = x(800 + -120x + 4x2)
784 = (800 * x + -120x * x + 4x2 * x)
784 = (800x + -120x2 + 4x3)

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

Solving for variable 'x'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(196 + -200x + 30x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(196 + -200x + 30x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
196 + -200x + 30x2 + -1x3 = 0

Solving
196 + -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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