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Simplifying F(x) = x3 + -5x3 + -20x Multiply F * x xF = x3 + -5x3 + -20x Reorder the terms: xF = -20x + x3 + -5x3 Combine like terms: x3 + -5x3 = -4x3 xF = -20x + -4x3 Solving xF = -20x + -4x3 Solving for variable 'x'. Reorder the terms: 20x + xF + 4x3 = -20x + -4x3 + 20x + 4x3 Reorder the terms: 20x + xF + 4x3 = -20x + 20x + -4x3 + 4x3 Combine like terms: -20x + 20x = 0 20x + xF + 4x3 = 0 + -4x3 + 4x3 20x + xF + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 20x + xF + 4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20 + 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 '(20 + F + 4x2)' equal to zero and attempt to solve: Simplifying 20 + F + 4x2 = 0 Solving 20 + F + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + F + -20 + 4x2 = 0 + -20 Reorder the terms: 20 + -20 + F + 4x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + F + 4x2 = 0 + -20 F + 4x2 = 0 + -20 Combine like terms: 0 + -20 = -20 F + 4x2 = -20 Add '-1F' to each side of the equation. F + -1F + 4x2 = -20 + -1F Combine like terms: F + -1F = 0 0 + 4x2 = -20 + -1F 4x2 = -20 + -1F Divide each side by '4'. x2 = -5 + -0.25F Simplifying x2 = -5 + -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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