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Simplifying F(x) = 2x3 + x2 + -15x Multiply F * x xF = 2x3 + x2 + -15x Reorder the terms: xF = -15x + x2 + 2x3 Solving xF = -15x + x2 + 2x3 Solving for variable 'x'. Reorder the terms: 15x + xF + -1x2 + -2x3 = -15x + x2 + 2x3 + 15x + -1x2 + -2x3 Reorder the terms: 15x + xF + -1x2 + -2x3 = -15x + 15x + x2 + -1x2 + 2x3 + -2x3 Combine like terms: -15x + 15x = 0 15x + xF + -1x2 + -2x3 = 0 + x2 + -1x2 + 2x3 + -2x3 15x + xF + -1x2 + -2x3 = x2 + -1x2 + 2x3 + -2x3 Combine like terms: x2 + -1x2 = 0 15x + xF + -1x2 + -2x3 = 0 + 2x3 + -2x3 15x + xF + -1x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 15x + xF + -1x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(15 + F + -1x + -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 '(15 + F + -1x + -2x2)' equal to zero and attempt to solve: Simplifying 15 + F + -1x + -2x2 = 0 Solving 15 + F + -1x + -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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