(12-2x)(16-2x)x=180

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Solution for (12-2x)(16-2x)x=180 equation:


Simplifying
(12 + -2x)(16 + -2x) * x = 180

Reorder the terms for easier multiplication:
x(12 + -2x)(16 + -2x) = 180

Multiply (12 + -2x) * (16 + -2x)
x(12(16 + -2x) + -2x * (16 + -2x)) = 180
x((16 * 12 + -2x * 12) + -2x * (16 + -2x)) = 180
x((192 + -24x) + -2x * (16 + -2x)) = 180
x(192 + -24x + (16 * -2x + -2x * -2x)) = 180
x(192 + -24x + (-32x + 4x2)) = 180

Combine like terms: -24x + -32x = -56x
x(192 + -56x + 4x2) = 180
(192 * x + -56x * x + 4x2 * x) = 180
(192x + -56x2 + 4x3) = 180

Solving
192x + -56x2 + 4x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 192x + -56x2 + 4x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 192x + -56x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-45 + 48x + -14x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-45 + 48x + -14x2 + x3)' equal to zero and attempt to solve: Simplifying -45 + 48x + -14x2 + x3 = 0 Solving -45 + 48x + -14x2 + 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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