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Simplifying F(x) = 4x3 + -36x Multiply F * x xF = 4x3 + -36x Reorder the terms: xF = -36x + 4x3 Solving xF = -36x + 4x3 Solving for variable 'x'. Reorder the terms: 36x + xF + -4x3 = -36x + 4x3 + 36x + -4x3 Reorder the terms: 36x + xF + -4x3 = -36x + 36x + 4x3 + -4x3 Combine like terms: -36x + 36x = 0 36x + xF + -4x3 = 0 + 4x3 + -4x3 36x + xF + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 36x + xF + -4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(36 + F + -4x2) = 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 '(36 + F + -4x2)' equal to zero and attempt to solve: Simplifying 36 + F + -4x2 = 0 Solving 36 + F + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + F + -36 + -4x2 = 0 + -36 Reorder the terms: 36 + -36 + F + -4x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + F + -4x2 = 0 + -36 F + -4x2 = 0 + -36 Combine like terms: 0 + -36 = -36 F + -4x2 = -36 Add '-1F' to each side of the equation. F + -1F + -4x2 = -36 + -1F Combine like terms: F + -1F = 0 0 + -4x2 = -36 + -1F -4x2 = -36 + -1F Divide each side by '-4'. x2 = 9 + 0.25F Simplifying x2 = 9 + 0.25F 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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