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Simplifying F(x) = 14x2 + -9x Multiply F * x xF = 14x2 + -9x Reorder the terms: xF = -9x + 14x2 Solving xF = -9x + 14x2 Solving for variable 'x'. Reorder the terms: 9x + xF + -14x2 = -9x + 14x2 + 9x + -14x2 Reorder the terms: 9x + xF + -14x2 = -9x + 9x + 14x2 + -14x2 Combine like terms: -9x + 9x = 0 9x + xF + -14x2 = 0 + 14x2 + -14x2 9x + xF + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 9x + xF + -14x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + F + -14x) = 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 '(9 + F + -14x)' equal to zero and attempt to solve: Simplifying 9 + F + -14x = 0 Solving 9 + F + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + F + -9 + -14x = 0 + -9 Reorder the terms: 9 + -9 + F + -14x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + F + -14x = 0 + -9 F + -14x = 0 + -9 Combine like terms: 0 + -9 = -9 F + -14x = -9 Add '-1F' to each side of the equation. F + -1F + -14x = -9 + -1F Combine like terms: F + -1F = 0 0 + -14x = -9 + -1F -14x = -9 + -1F Divide each side by '-14'. x = 0.6428571429 + 0.07142857143F Simplifying x = 0.6428571429 + 0.07142857143FSolution
x = {0, 0.6428571429 + 0.07142857143F}
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