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Simplifying F(x) = 3x3 + -3x2 + -6x Multiply F * x xF = 3x3 + -3x2 + -6x Reorder the terms: xF = -6x + -3x2 + 3x3 Solving xF = -6x + -3x2 + 3x3 Solving for variable 'x'. Reorder the terms: 6x + xF + 3x2 + -3x3 = -6x + -3x2 + 3x3 + 6x + 3x2 + -3x3 Reorder the terms: 6x + xF + 3x2 + -3x3 = -6x + 6x + -3x2 + 3x2 + 3x3 + -3x3 Combine like terms: -6x + 6x = 0 6x + xF + 3x2 + -3x3 = 0 + -3x2 + 3x2 + 3x3 + -3x3 6x + xF + 3x2 + -3x3 = -3x2 + 3x2 + 3x3 + -3x3 Combine like terms: -3x2 + 3x2 = 0 6x + xF + 3x2 + -3x3 = 0 + 3x3 + -3x3 6x + xF + 3x2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 6x + xF + 3x2 + -3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6 + F + 3x + -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 '(6 + F + 3x + -3x2)' equal to zero and attempt to solve: Simplifying 6 + F + 3x + -3x2 = 0 Solving 6 + F + 3x + -3x2 = 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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