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Simplifying F(x) = x3 + -25x Multiply F * x xF = x3 + -25x Reorder the terms: xF = -25x + x3 Solving xF = -25x + x3 Solving for variable 'x'. Reorder the terms: 25x + xF + -1x3 = -25x + x3 + 25x + -1x3 Reorder the terms: 25x + xF + -1x3 = -25x + 25x + x3 + -1x3 Combine like terms: -25x + 25x = 0 25x + xF + -1x3 = 0 + x3 + -1x3 25x + xF + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 25x + xF + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(25 + F + -1x2) = 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 '(25 + F + -1x2)' equal to zero and attempt to solve: Simplifying 25 + F + -1x2 = 0 Solving 25 + F + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + F + -25 + -1x2 = 0 + -25 Reorder the terms: 25 + -25 + F + -1x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + F + -1x2 = 0 + -25 F + -1x2 = 0 + -25 Combine like terms: 0 + -25 = -25 F + -1x2 = -25 Add '-1F' to each side of the equation. F + -1F + -1x2 = -25 + -1F Combine like terms: F + -1F = 0 0 + -1x2 = -25 + -1F -1x2 = -25 + -1F Divide each side by '-1'. x2 = 25 + F Simplifying x2 = 25 + F 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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