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Simplifying F(x) = -2x3 + 10x3 + 48x Multiply F * x xF = -2x3 + 10x3 + 48x Reorder the terms: xF = 48x + -2x3 + 10x3 Combine like terms: -2x3 + 10x3 = 8x3 xF = 48x + 8x3 Solving xF = 48x + 8x3 Solving for variable 'x'. Reorder the terms: -48x + xF + -8x3 = 48x + 8x3 + -48x + -8x3 Reorder the terms: -48x + xF + -8x3 = 48x + -48x + 8x3 + -8x3 Combine like terms: 48x + -48x = 0 -48x + xF + -8x3 = 0 + 8x3 + -8x3 -48x + xF + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 -48x + xF + -8x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-48 + F + -8x2) = 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 '(-48 + F + -8x2)' equal to zero and attempt to solve: Simplifying -48 + F + -8x2 = 0 Solving -48 + F + -8x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + F + 48 + -8x2 = 0 + 48 Reorder the terms: -48 + 48 + F + -8x2 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + F + -8x2 = 0 + 48 F + -8x2 = 0 + 48 Combine like terms: 0 + 48 = 48 F + -8x2 = 48 Add '-1F' to each side of the equation. F + -1F + -8x2 = 48 + -1F Combine like terms: F + -1F = 0 0 + -8x2 = 48 + -1F -8x2 = 48 + -1F Divide each side by '-8'. x2 = -6 + 0.125F Simplifying x2 = -6 + 0.125F 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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