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Simplifying V(x) = 4x3 + -44x2 + 120x Multiply V * x xV = 4x3 + -44x2 + 120x Reorder the terms: xV = 120x + -44x2 + 4x3 Solving xV = 120x + -44x2 + 4x3 Solving for variable 'x'. Reorder the terms: -120x + xV + 44x2 + -4x3 = 120x + -44x2 + 4x3 + -120x + 44x2 + -4x3 Reorder the terms: -120x + xV + 44x2 + -4x3 = 120x + -120x + -44x2 + 44x2 + 4x3 + -4x3 Combine like terms: 120x + -120x = 0 -120x + xV + 44x2 + -4x3 = 0 + -44x2 + 44x2 + 4x3 + -4x3 -120x + xV + 44x2 + -4x3 = -44x2 + 44x2 + 4x3 + -4x3 Combine like terms: -44x2 + 44x2 = 0 -120x + xV + 44x2 + -4x3 = 0 + 4x3 + -4x3 -120x + xV + 44x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -120x + xV + 44x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-120 + V + 44x + -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 '(-120 + V + 44x + -4x2)' equal to zero and attempt to solve: Simplifying -120 + V + 44x + -4x2 = 0 Solving -120 + V + 44x + -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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