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Simplifying F(x) = 9x3 + -31x2 + -20x Multiply F * x xF = 9x3 + -31x2 + -20x Reorder the terms: xF = -20x + -31x2 + 9x3 Solving xF = -20x + -31x2 + 9x3 Solving for variable 'x'. Reorder the terms: 20x + xF + 31x2 + -9x3 = -20x + -31x2 + 9x3 + 20x + 31x2 + -9x3 Reorder the terms: 20x + xF + 31x2 + -9x3 = -20x + 20x + -31x2 + 31x2 + 9x3 + -9x3 Combine like terms: -20x + 20x = 0 20x + xF + 31x2 + -9x3 = 0 + -31x2 + 31x2 + 9x3 + -9x3 20x + xF + 31x2 + -9x3 = -31x2 + 31x2 + 9x3 + -9x3 Combine like terms: -31x2 + 31x2 = 0 20x + xF + 31x2 + -9x3 = 0 + 9x3 + -9x3 20x + xF + 31x2 + -9x3 = 9x3 + -9x3 Combine like terms: 9x3 + -9x3 = 0 20x + xF + 31x2 + -9x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20 + F + 31x + -9x2) = 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 '(20 + F + 31x + -9x2)' equal to zero and attempt to solve: Simplifying 20 + F + 31x + -9x2 = 0 Solving 20 + F + 31x + -9x2 = 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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