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Simplifying V(x) = (24 + -2x)(24 + -2x)(x) Multiply V * x xV = (24 + -2x)(24 + -2x)(x) Reorder the terms for easier multiplication: xV = x(24 + -2x)(24 + -2x) Multiply (24 + -2x) * (24 + -2x) xV = x(24(24 + -2x) + -2x * (24 + -2x)) xV = x((24 * 24 + -2x * 24) + -2x * (24 + -2x)) xV = x((576 + -48x) + -2x * (24 + -2x)) xV = x(576 + -48x + (24 * -2x + -2x * -2x)) xV = x(576 + -48x + (-48x + 4x2)) Combine like terms: -48x + -48x = -96x xV = x(576 + -96x + 4x2) xV = (576 * x + -96x * x + 4x2 * x) xV = (576x + -96x2 + 4x3) Solving xV = 576x + -96x2 + 4x3 Solving for variable 'x'. Reorder the terms: -576x + xV + 96x2 + -4x3 = 576x + -96x2 + 4x3 + -576x + 96x2 + -4x3 Reorder the terms: -576x + xV + 96x2 + -4x3 = 576x + -576x + -96x2 + 96x2 + 4x3 + -4x3 Combine like terms: 576x + -576x = 0 -576x + xV + 96x2 + -4x3 = 0 + -96x2 + 96x2 + 4x3 + -4x3 -576x + xV + 96x2 + -4x3 = -96x2 + 96x2 + 4x3 + -4x3 Combine like terms: -96x2 + 96x2 = 0 -576x + xV + 96x2 + -4x3 = 0 + 4x3 + -4x3 -576x + xV + 96x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -576x + xV + 96x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-576 + V + 96x + -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 '(-576 + V + 96x + -4x2)' equal to zero and attempt to solve: Simplifying -576 + V + 96x + -4x2 = 0 Solving -576 + V + 96x + -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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