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Simplifying 60x = 64x(x + -80) Reorder the terms: 60x = 64x(-80 + x) 60x = (-80 * 64x + x * 64x) 60x = (-5120x + 64x2) Solving 60x = -5120x + 64x2 Solving for variable 'x'. Combine like terms: 60x + 5120x = 5180x 5180x + -64x2 = -5120x + 64x2 + 5120x + -64x2 Reorder the terms: 5180x + -64x2 = -5120x + 5120x + 64x2 + -64x2 Combine like terms: -5120x + 5120x = 0 5180x + -64x2 = 0 + 64x2 + -64x2 5180x + -64x2 = 64x2 + -64x2 Combine like terms: 64x2 + -64x2 = 0 5180x + -64x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(1295 + -16x) = 0 Ignore the factor 4.Subproblem 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 '(1295 + -16x)' equal to zero and attempt to solve: Simplifying 1295 + -16x = 0 Solving 1295 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1295' to each side of the equation. 1295 + -1295 + -16x = 0 + -1295 Combine like terms: 1295 + -1295 = 0 0 + -16x = 0 + -1295 -16x = 0 + -1295 Combine like terms: 0 + -1295 = -1295 -16x = -1295 Divide each side by '-16'. x = 80.9375 Simplifying x = 80.9375Solution
x = {0, 80.9375}
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