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Simplifying F(x) = -16x(2) + 64x Multiply F * x xF = -16x(2) + 64x Reorder the terms for easier multiplication: xF = -16 * 2x + 64x Multiply -16 * 2 xF = -32x + 64x Combine like terms: -32x + 64x = 32x xF = 32x Solving xF = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -32x + xF = 32x + -32x Combine like terms: 32x + -32x = 0 -32x + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-32 + F) = 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)' equal to zero and attempt to solve: Simplifying -32 + F = 0 Solving -32 + F = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + F = 0 + 32 Combine like terms: -32 + 32 = 0 0 + F = 0 + 32 F = 0 + 32 Combine like terms: 0 + 32 = 32 F = 32 Add '-1F' to each side of the equation. F + -1F = 32 + -1F Combine like terms: F + -1F = 0 0 = 32 + -1F Simplifying 0 = 32 + -1F 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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