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Simplifying V(x) = (11 + -2x)(17 + -2x) * x Multiply V * x xV = (11 + -2x)(17 + -2x) * x Reorder the terms for easier multiplication: xV = x(11 + -2x)(17 + -2x) Multiply (11 + -2x) * (17 + -2x) xV = x(11(17 + -2x) + -2x * (17 + -2x)) xV = x((17 * 11 + -2x * 11) + -2x * (17 + -2x)) xV = x((187 + -22x) + -2x * (17 + -2x)) xV = x(187 + -22x + (17 * -2x + -2x * -2x)) xV = x(187 + -22x + (-34x + 4x2)) Combine like terms: -22x + -34x = -56x xV = x(187 + -56x + 4x2) xV = (187 * x + -56x * x + 4x2 * x) xV = (187x + -56x2 + 4x3) Solving xV = 187x + -56x2 + 4x3 Solving for variable 'x'. Reorder the terms: -187x + xV + 56x2 + -4x3 = 187x + -56x2 + 4x3 + -187x + 56x2 + -4x3 Reorder the terms: -187x + xV + 56x2 + -4x3 = 187x + -187x + -56x2 + 56x2 + 4x3 + -4x3 Combine like terms: 187x + -187x = 0 -187x + xV + 56x2 + -4x3 = 0 + -56x2 + 56x2 + 4x3 + -4x3 -187x + xV + 56x2 + -4x3 = -56x2 + 56x2 + 4x3 + -4x3 Combine like terms: -56x2 + 56x2 = 0 -187x + xV + 56x2 + -4x3 = 0 + 4x3 + -4x3 -187x + xV + 56x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -187x + xV + 56x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-187 + V + 56x + -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 '(-187 + V + 56x + -4x2)' equal to zero and attempt to solve: Simplifying -187 + V + 56x + -4x2 = 0 Solving -187 + V + 56x + -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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