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Simplifying F(x) = -3x3 + -15x2 + -12x Multiply F * x xF = -3x3 + -15x2 + -12x Reorder the terms: xF = -12x + -15x2 + -3x3 Solving xF = -12x + -15x2 + -3x3 Solving for variable 'x'. Reorder the terms: 12x + xF + 15x2 + 3x3 = -12x + -15x2 + -3x3 + 12x + 15x2 + 3x3 Reorder the terms: 12x + xF + 15x2 + 3x3 = -12x + 12x + -15x2 + 15x2 + -3x3 + 3x3 Combine like terms: -12x + 12x = 0 12x + xF + 15x2 + 3x3 = 0 + -15x2 + 15x2 + -3x3 + 3x3 12x + xF + 15x2 + 3x3 = -15x2 + 15x2 + -3x3 + 3x3 Combine like terms: -15x2 + 15x2 = 0 12x + xF + 15x2 + 3x3 = 0 + -3x3 + 3x3 12x + xF + 15x2 + 3x3 = -3x3 + 3x3 Combine like terms: -3x3 + 3x3 = 0 12x + xF + 15x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(12 + F + 15x + 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 '(12 + F + 15x + 3x2)' equal to zero and attempt to solve: Simplifying 12 + F + 15x + 3x2 = 0 Solving 12 + F + 15x + 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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