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Simplifying F(x) = -1x2 + -4x Multiply F * x xF = -1x2 + -4x Reorder the terms: 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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