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Simplifying F(x) = 2x5 + -32x Multiply F * x xF = 2x5 + -32x Reorder the terms: xF = -32x + 2x5 Solving xF = -32x + 2x5 Solving for variable 'x'. Reorder the terms: 32x + xF + -2x5 = -32x + 2x5 + 32x + -2x5 Reorder the terms: 32x + xF + -2x5 = -32x + 32x + 2x5 + -2x5 Combine like terms: -32x + 32x = 0 32x + xF + -2x5 = 0 + 2x5 + -2x5 32x + xF + -2x5 = 2x5 + -2x5 Combine like terms: 2x5 + -2x5 = 0 32x + xF + -2x5 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(32 + F + -2x4) = 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 '(32 + F + -2x4)' equal to zero and attempt to solve: Simplifying 32 + F + -2x4 = 0 Solving 32 + F + -2x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + F + -32 + -2x4 = 0 + -32 Reorder the terms: 32 + -32 + F + -2x4 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + F + -2x4 = 0 + -32 F + -2x4 = 0 + -32 Combine like terms: 0 + -32 = -32 F + -2x4 = -32 Add '-1F' to each side of the equation. F + -1F + -2x4 = -32 + -1F Combine like terms: F + -1F = 0 0 + -2x4 = -32 + -1F -2x4 = -32 + -1F Divide each side by '-2'. x4 = 16 + 0.5F Simplifying x4 = 16 + 0.5F 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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