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Simplifying F(x) = 3x3 + 18x Multiply F * x xF = 3x3 + 18x Reorder the terms: xF = 18x + 3x3 Solving xF = 18x + 3x3 Solving for variable 'x'. Reorder the terms: -18x + xF + -3x3 = 18x + 3x3 + -18x + -3x3 Reorder the terms: -18x + xF + -3x3 = 18x + -18x + 3x3 + -3x3 Combine like terms: 18x + -18x = 0 -18x + xF + -3x3 = 0 + 3x3 + -3x3 -18x + xF + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -18x + xF + -3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-18 + F + -3x2) = 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 + -3x2)' equal to zero and attempt to solve: Simplifying -18 + F + -3x2 = 0 Solving -18 + F + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + F + 18 + -3x2 = 0 + 18 Reorder the terms: -18 + 18 + F + -3x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + F + -3x2 = 0 + 18 F + -3x2 = 0 + 18 Combine like terms: 0 + 18 = 18 F + -3x2 = 18 Add '-1F' to each side of the equation. F + -1F + -3x2 = 18 + -1F Combine like terms: F + -1F = 0 0 + -3x2 = 18 + -1F -3x2 = 18 + -1F Divide each side by '-3'. x2 = -6 + 0.3333333333F Simplifying x2 = -6 + 0.3333333333F 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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