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Simplifying V(x) = (12 + -2x)(12 + -2x)(x) Multiply V * x xV = (12 + -2x)(12 + -2x)(x) Reorder the terms for easier multiplication: xV = x(12 + -2x)(12 + -2x) Multiply (12 + -2x) * (12 + -2x) xV = x(12(12 + -2x) + -2x * (12 + -2x)) xV = x((12 * 12 + -2x * 12) + -2x * (12 + -2x)) xV = x((144 + -24x) + -2x * (12 + -2x)) xV = x(144 + -24x + (12 * -2x + -2x * -2x)) xV = x(144 + -24x + (-24x + 4x2)) Combine like terms: -24x + -24x = -48x xV = x(144 + -48x + 4x2) xV = (144 * x + -48x * x + 4x2 * x) xV = (144x + -48x2 + 4x3) Solving xV = 144x + -48x2 + 4x3 Solving for variable 'x'. Reorder the terms: -144x + xV + 48x2 + -4x3 = 144x + -48x2 + 4x3 + -144x + 48x2 + -4x3 Reorder the terms: -144x + xV + 48x2 + -4x3 = 144x + -144x + -48x2 + 48x2 + 4x3 + -4x3 Combine like terms: 144x + -144x = 0 -144x + xV + 48x2 + -4x3 = 0 + -48x2 + 48x2 + 4x3 + -4x3 -144x + xV + 48x2 + -4x3 = -48x2 + 48x2 + 4x3 + -4x3 Combine like terms: -48x2 + 48x2 = 0 -144x + xV + 48x2 + -4x3 = 0 + 4x3 + -4x3 -144x + xV + 48x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -144x + xV + 48x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-144 + V + 48x + -4x2) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-144 + V + 48x + -4x2)' equal to zero and attempt to solve: Simplifying -144 + V + 48x + -4x2 = 0 Solving -144 + V + 48x + -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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