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Simplifying Fx = -16x2 + 96x Reorder the terms: xF = 96x + -16x2 Solving xF = 96x + -16x2 Solving for variable 'x'. Reorder the terms: -96x + xF + 16x2 = 96x + -16x2 + -96x + 16x2 Reorder the terms: -96x + xF + 16x2 = 96x + -96x + -16x2 + 16x2 Combine like terms: 96x + -96x = 0 -96x + xF + 16x2 = 0 + -16x2 + 16x2 -96x + xF + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -96x + xF + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-96 + F + 16x) = 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 '(-96 + F + 16x)' equal to zero and attempt to solve: Simplifying -96 + F + 16x = 0 Solving -96 + F + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + F + 96 + 16x = 0 + 96 Reorder the terms: -96 + 96 + F + 16x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + F + 16x = 0 + 96 F + 16x = 0 + 96 Combine like terms: 0 + 96 = 96 F + 16x = 96 Add '-1F' to each side of the equation. F + -1F + 16x = 96 + -1F Combine like terms: F + -1F = 0 0 + 16x = 96 + -1F 16x = 96 + -1F Divide each side by '16'. x = 6 + -0.0625F Simplifying x = 6 + -0.0625FSolution
x = {0, 6 + -0.0625F}
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