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Simplifying F(x) = 2x3 + -9x2 + -18x Multiply F * x xF = 2x3 + -9x2 + -18x Reorder the terms: xF = -18x + -9x2 + 2x3 Solving xF = -18x + -9x2 + 2x3 Solving for variable 'x'. Reorder the terms: 18x + xF + 9x2 + -2x3 = -18x + -9x2 + 2x3 + 18x + 9x2 + -2x3 Reorder the terms: 18x + xF + 9x2 + -2x3 = -18x + 18x + -9x2 + 9x2 + 2x3 + -2x3 Combine like terms: -18x + 18x = 0 18x + xF + 9x2 + -2x3 = 0 + -9x2 + 9x2 + 2x3 + -2x3 18x + xF + 9x2 + -2x3 = -9x2 + 9x2 + 2x3 + -2x3 Combine like terms: -9x2 + 9x2 = 0 18x + xF + 9x2 + -2x3 = 0 + 2x3 + -2x3 18x + xF + 9x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 18x + xF + 9x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(18 + F + 9x + -2x2) = 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 '(18 + F + 9x + -2x2)' equal to zero and attempt to solve: Simplifying 18 + F + 9x + -2x2 = 0 Solving 18 + F + 9x + -2x2 = 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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