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Simplifying x = -16x2 + 80x Reorder the terms: x = 80x + -16x2 Solving x = 80x + -16x2 Solving for variable 'x'. Combine like terms: x + -80x = -79x -79x + 16x2 = 80x + -16x2 + -80x + 16x2 Reorder the terms: -79x + 16x2 = 80x + -80x + -16x2 + 16x2 Combine like terms: 80x + -80x = 0 -79x + 16x2 = 0 + -16x2 + 16x2 -79x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -79x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-79 + 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 '(-79 + 16x)' equal to zero and attempt to solve: Simplifying -79 + 16x = 0 Solving -79 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + 16x = 0 + 79 Combine like terms: -79 + 79 = 0 0 + 16x = 0 + 79 16x = 0 + 79 Combine like terms: 0 + 79 = 79 16x = 79 Divide each side by '16'. x = 4.9375 Simplifying x = 4.9375Solution
x = {0, 4.9375}
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