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Simplifying V(x) = (17 + -2x)(16 + -2x) * x Multiply V * x xV = (17 + -2x)(16 + -2x) * x Reorder the terms for easier multiplication: xV = x(17 + -2x)(16 + -2x) Multiply (17 + -2x) * (16 + -2x) xV = x(17(16 + -2x) + -2x * (16 + -2x)) xV = x((16 * 17 + -2x * 17) + -2x * (16 + -2x)) xV = x((272 + -34x) + -2x * (16 + -2x)) xV = x(272 + -34x + (16 * -2x + -2x * -2x)) xV = x(272 + -34x + (-32x + 4x2)) Combine like terms: -34x + -32x = -66x xV = x(272 + -66x + 4x2) xV = (272 * x + -66x * x + 4x2 * x) xV = (272x + -66x2 + 4x3) Solving xV = 272x + -66x2 + 4x3 Solving for variable 'x'. Reorder the terms: -272x + xV + 66x2 + -4x3 = 272x + -66x2 + 4x3 + -272x + 66x2 + -4x3 Reorder the terms: -272x + xV + 66x2 + -4x3 = 272x + -272x + -66x2 + 66x2 + 4x3 + -4x3 Combine like terms: 272x + -272x = 0 -272x + xV + 66x2 + -4x3 = 0 + -66x2 + 66x2 + 4x3 + -4x3 -272x + xV + 66x2 + -4x3 = -66x2 + 66x2 + 4x3 + -4x3 Combine like terms: -66x2 + 66x2 = 0 -272x + xV + 66x2 + -4x3 = 0 + 4x3 + -4x3 -272x + xV + 66x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -272x + xV + 66x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-272 + V + 66x + -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 '(-272 + V + 66x + -4x2)' equal to zero and attempt to solve: Simplifying -272 + V + 66x + -4x2 = 0 Solving -272 + V + 66x + -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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