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Simplifying Fx = -2x2 + -5x Reorder the terms: xF = -5x + -2x2 Solving xF = -5x + -2x2 Solving for variable 'x'. Reorder the terms: 5x + xF + 2x2 = -5x + -2x2 + 5x + 2x2 Reorder the terms: 5x + xF + 2x2 = -5x + 5x + -2x2 + 2x2 Combine like terms: -5x + 5x = 0 5x + xF + 2x2 = 0 + -2x2 + 2x2 5x + xF + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 5x + xF + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + F + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 5 + F + 2x = 0 Solving 5 + F + 2x = 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 + 2x = 0 + -5 Reorder the terms: 5 + -5 + F + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + F + 2x = 0 + -5 F + 2x = 0 + -5 Combine like terms: 0 + -5 = -5 F + 2x = -5 Add '-1F' to each side of the equation. F + -1F + 2x = -5 + -1F Combine like terms: F + -1F = 0 0 + 2x = -5 + -1F 2x = -5 + -1F Divide each side by '2'. x = -2.5 + -0.5F Simplifying x = -2.5 + -0.5FSolution
x = {0, -2.5 + -0.5F}
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