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Simplifying F(x) = -2x3 + -8x2 + 10x Multiply F * x xF = -2x3 + -8x2 + 10x Reorder the terms: xF = 10x + -8x2 + -2x3 Solving xF = 10x + -8x2 + -2x3 Solving for variable 'x'. Reorder the terms: -10x + xF + 8x2 + 2x3 = 10x + -8x2 + -2x3 + -10x + 8x2 + 2x3 Reorder the terms: -10x + xF + 8x2 + 2x3 = 10x + -10x + -8x2 + 8x2 + -2x3 + 2x3 Combine like terms: 10x + -10x = 0 -10x + xF + 8x2 + 2x3 = 0 + -8x2 + 8x2 + -2x3 + 2x3 -10x + xF + 8x2 + 2x3 = -8x2 + 8x2 + -2x3 + 2x3 Combine like terms: -8x2 + 8x2 = 0 -10x + xF + 8x2 + 2x3 = 0 + -2x3 + 2x3 -10x + xF + 8x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 -10x + xF + 8x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + F + 8x + 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 '(-10 + F + 8x + 2x2)' equal to zero and attempt to solve: Simplifying -10 + F + 8x + 2x2 = 0 Solving -10 + F + 8x + 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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