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

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Solution for 100=x(30-20x)(20-2x) equation: 


Simplifying
100 = x(30 + -20x)(20 + -2x)

Multiply (30 + -20x) * (20 + -2x)
100 = x(30(20 + -2x) + -20x * (20 + -2x))
100 = x((20 * 30 + -2x * 30) + -20x * (20 + -2x))
100 = x((600 + -60x) + -20x * (20 + -2x))
100 = x(600 + -60x + (20 * -20x + -2x * -20x))
100 = x(600 + -60x + (-400x + 40x2))

Combine like terms: -60x + -400x = -460x
100 = x(600 + -460x + 40x2)
100 = (600 * x + -460x * x + 40x2 * x)
100 = (600x + -460x2 + 40x3)

Solving
100 = 600x + -460x2 + 40x3

Solving for variable 'x'.

Reorder the terms:
100 + -600x + 460x2 + -40x3 = 600x + -600x + -460x2 + 460x2 + 40x3 + -40x3

Combine like terms: 600x + -600x = 0
100 + -600x + 460x2 + -40x3 = 0 + -460x2 + 460x2 + 40x3 + -40x3
100 + -600x + 460x2 + -40x3 = -460x2 + 460x2 + 40x3 + -40x3

Combine like terms: -460x2 + 460x2 = 0
100 + -600x + 460x2 + -40x3 = 0 + 40x3 + -40x3
100 + -600x + 460x2 + -40x3 = 40x3 + -40x3

Combine like terms: 40x3 + -40x3 = 0
100 + -600x + 460x2 + -40x3 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(5 + -30x + 23x2 + -2x3) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(5 + -30x + 23x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
5 + -30x + 23x2 + -2x3 = 0

Solving
5 + -30x + 23x2 + -2x3 = 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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