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Simplifying F(x) = 11x2 + 13x Multiply F * x xF = 11x2 + 13x Reorder the terms: xF = 13x + 11x2 Solving xF = 13x + 11x2 Solving for variable 'x'. Reorder the terms: -13x + xF + -11x2 = 13x + 11x2 + -13x + -11x2 Reorder the terms: -13x + xF + -11x2 = 13x + -13x + 11x2 + -11x2 Combine like terms: 13x + -13x = 0 -13x + xF + -11x2 = 0 + 11x2 + -11x2 -13x + xF + -11x2 = 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 -13x + xF + -11x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + F + -11x) = 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 '(-13 + F + -11x)' equal to zero and attempt to solve: Simplifying -13 + F + -11x = 0 Solving -13 + F + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + F + 13 + -11x = 0 + 13 Reorder the terms: -13 + 13 + F + -11x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + F + -11x = 0 + 13 F + -11x = 0 + 13 Combine like terms: 0 + 13 = 13 F + -11x = 13 Add '-1F' to each side of the equation. F + -1F + -11x = 13 + -1F Combine like terms: F + -1F = 0 0 + -11x = 13 + -1F -11x = 13 + -1F Divide each side by '-11'. x = -1.181818182 + 0.09090909091F Simplifying x = -1.181818182 + 0.09090909091FSolution
x = {0, -1.181818182 + 0.09090909091F}
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