(18-2x)(12-2x)(x)=v(x)

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Solution for (18-2x)(12-2x)(x)=v(x) equation:


Simplifying
(18 + -2x)(12 + -2x)(x) = v(x)

Reorder the terms for easier multiplication:
x(18 + -2x)(12 + -2x) = v(x)

Multiply (18 + -2x) * (12 + -2x)
x(18(12 + -2x) + -2x * (12 + -2x)) = v(x)
x((12 * 18 + -2x * 18) + -2x * (12 + -2x)) = v(x)
x((216 + -36x) + -2x * (12 + -2x)) = v(x)
x(216 + -36x + (12 * -2x + -2x * -2x)) = v(x)
x(216 + -36x + (-24x + 4x2)) = v(x)

Combine like terms: -36x + -24x = -60x
x(216 + -60x + 4x2) = v(x)
(216 * x + -60x * x + 4x2 * x) = v(x)
(216x + -60x2 + 4x3) = v(x)

Multiply v * x
216x + -60x2 + 4x3 = vx

Solving
216x + -60x2 + 4x3 = vx

Solving for variable 'x'.

Reorder the terms:
-1vx + 216x + -60x2 + 4x3 = vx + -1vx

Combine like terms: vx + -1vx = 0
-1vx + 216x + -60x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1v + 216 + -60x + 4x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1v + 216 + -60x + 4x2)' equal to zero and attempt to solve: Simplifying -1v + 216 + -60x + 4x2 = 0 Reorder the terms: 216 + -1v + -60x + 4x2 = 0 Solving 216 + -1v + -60x + 4x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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