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Simplifying V(x) = (20 + -2x)(14 + -2x)(x) Multiply V * x xV = (20 + -2x)(14 + -2x)(x) Reorder the terms for easier multiplication: xV = x(20 + -2x)(14 + -2x) Multiply (20 + -2x) * (14 + -2x) xV = x(20(14 + -2x) + -2x * (14 + -2x)) xV = x((14 * 20 + -2x * 20) + -2x * (14 + -2x)) xV = x((280 + -40x) + -2x * (14 + -2x)) xV = x(280 + -40x + (14 * -2x + -2x * -2x)) xV = x(280 + -40x + (-28x + 4x2)) Combine like terms: -40x + -28x = -68x xV = x(280 + -68x + 4x2) xV = (280 * x + -68x * x + 4x2 * x) xV = (280x + -68x2 + 4x3) Solving xV = 280x + -68x2 + 4x3 Solving for variable 'x'. Reorder the terms: -280x + xV + 68x2 + -4x3 = 280x + -68x2 + 4x3 + -280x + 68x2 + -4x3 Reorder the terms: -280x + xV + 68x2 + -4x3 = 280x + -280x + -68x2 + 68x2 + 4x3 + -4x3 Combine like terms: 280x + -280x = 0 -280x + xV + 68x2 + -4x3 = 0 + -68x2 + 68x2 + 4x3 + -4x3 -280x + xV + 68x2 + -4x3 = -68x2 + 68x2 + 4x3 + -4x3 Combine like terms: -68x2 + 68x2 = 0 -280x + xV + 68x2 + -4x3 = 0 + 4x3 + -4x3 -280x + xV + 68x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -280x + xV + 68x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-280 + V + 68x + -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 '(-280 + V + 68x + -4x2)' equal to zero and attempt to solve: Simplifying -280 + V + 68x + -4x2 = 0 Solving -280 + V + 68x + -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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