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Simplifying F(x) = 6x5 + -24x Multiply F * x xF = 6x5 + -24x Reorder the terms: xF = -24x + 6x5 Solving xF = -24x + 6x5 Solving for variable 'x'. Reorder the terms: 24x + xF + -6x5 = -24x + 6x5 + 24x + -6x5 Reorder the terms: 24x + xF + -6x5 = -24x + 24x + 6x5 + -6x5 Combine like terms: -24x + 24x = 0 24x + xF + -6x5 = 0 + 6x5 + -6x5 24x + xF + -6x5 = 6x5 + -6x5 Combine like terms: 6x5 + -6x5 = 0 24x + xF + -6x5 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(24 + F + -6x4) = 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 '(24 + F + -6x4)' equal to zero and attempt to solve: Simplifying 24 + F + -6x4 = 0 Solving 24 + F + -6x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + F + -24 + -6x4 = 0 + -24 Reorder the terms: 24 + -24 + F + -6x4 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + F + -6x4 = 0 + -24 F + -6x4 = 0 + -24 Combine like terms: 0 + -24 = -24 F + -6x4 = -24 Add '-1F' to each side of the equation. F + -1F + -6x4 = -24 + -1F Combine like terms: F + -1F = 0 0 + -6x4 = -24 + -1F -6x4 = -24 + -1F Divide each side by '-6'. x4 = 4 + 0.1666666667F Simplifying x4 = 4 + 0.1666666667F 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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