1008=(20-2x)(30-2x)x

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Solution for 1008=(20-2x)(30-2x)x equation: 


Simplifying
1008 = (20 + -2x)(30 + -2x) * x

Reorder the terms for easier multiplication:
1008 = x(20 + -2x)(30 + -2x)

Multiply (20 + -2x) * (30 + -2x)
1008 = x(20(30 + -2x) + -2x * (30 + -2x))
1008 = x((30 * 20 + -2x * 20) + -2x * (30 + -2x))
1008 = x((600 + -40x) + -2x * (30 + -2x))
1008 = x(600 + -40x + (30 * -2x + -2x * -2x))
1008 = x(600 + -40x + (-60x + 4x2))

Combine like terms: -40x + -60x = -100x
1008 = x(600 + -100x + 4x2)
1008 = (600 * x + -100x * x + 4x2 * x)
1008 = (600x + -100x2 + 4x3)

Solving
1008 = 600x + -100x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
1008 + -600x + 100x2 + -4x3 = 600x + -600x + -100x2 + 100x2 + 4x3 + -4x3

Combine like terms: 600x + -600x = 0
1008 + -600x + 100x2 + -4x3 = 0 + -100x2 + 100x2 + 4x3 + -4x3
1008 + -600x + 100x2 + -4x3 = -100x2 + 100x2 + 4x3 + -4x3

Combine like terms: -100x2 + 100x2 = 0
1008 + -600x + 100x2 + -4x3 = 0 + 4x3 + -4x3
1008 + -600x + 100x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
1008 + -600x + 100x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(252 + -150x + 25x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(252 + -150x + 25x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
252 + -150x + 25x2 + -1x3 = 0

Solving
252 + -150x + 25x2 + -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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