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