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