(12-2x)(12-2x)x=100

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Solution for (12-2x)(12-2x)x=100 equation:


Simplifying
(12 + -2x)(12 + -2x) * x = 100

Reorder the terms for easier multiplication:
x(12 + -2x)(12 + -2x) = 100

Multiply (12 + -2x) * (12 + -2x)
x(12(12 + -2x) + -2x * (12 + -2x)) = 100
x((12 * 12 + -2x * 12) + -2x * (12 + -2x)) = 100
x((144 + -24x) + -2x * (12 + -2x)) = 100
x(144 + -24x + (12 * -2x + -2x * -2x)) = 100
x(144 + -24x + (-24x + 4x2)) = 100

Combine like terms: -24x + -24x = -48x
x(144 + -48x + 4x2) = 100
(144 * x + -48x * x + 4x2 * x) = 100
(144x + -48x2 + 4x3) = 100

Solving
144x + -48x2 + 4x3 = 100

Solving for variable 'x'.

Reorder the terms:
-100 + 144x + -48x2 + 4x3 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + 144x + -48x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-25 + 36x + -12x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-25 + 36x + -12x2 + x3)' equal to zero and attempt to solve: Simplifying -25 + 36x + -12x2 + x3 = 0 Solving -25 + 36x + -12x2 + 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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