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Simplifying F(x) = 7x2 + 5x Multiply F * x xF = 7x2 + 5x Reorder the terms: xF = 5x + 7x2 Solving xF = 5x + 7x2 Solving for variable 'x'. Reorder the terms: -5x + xF + -7x2 = 5x + 7x2 + -5x + -7x2 Reorder the terms: -5x + xF + -7x2 = 5x + -5x + 7x2 + -7x2 Combine like terms: 5x + -5x = 0 -5x + xF + -7x2 = 0 + 7x2 + -7x2 -5x + xF + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -5x + xF + -7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + F + -7x) = 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 '(-5 + F + -7x)' equal to zero and attempt to solve: Simplifying -5 + F + -7x = 0 Solving -5 + F + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + F + 5 + -7x = 0 + 5 Reorder the terms: -5 + 5 + F + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + F + -7x = 0 + 5 F + -7x = 0 + 5 Combine like terms: 0 + 5 = 5 F + -7x = 5 Add '-1F' to each side of the equation. F + -1F + -7x = 5 + -1F Combine like terms: F + -1F = 0 0 + -7x = 5 + -1F -7x = 5 + -1F Divide each side by '-7'. x = -0.7142857143 + 0.1428571429F Simplifying x = -0.7142857143 + 0.1428571429FSolution
x = {0, -0.7142857143 + 0.1428571429F}
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