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Simplifying x = -16x2 + 96x Reorder the terms: x = 96x + -16x2 Solving x = 96x + -16x2 Solving for variable 'x'. Combine like terms: x + -96x = -95x -95x + 16x2 = 96x + -16x2 + -96x + 16x2 Reorder the terms: -95x + 16x2 = 96x + -96x + -16x2 + 16x2 Combine like terms: 96x + -96x = 0 -95x + 16x2 = 0 + -16x2 + 16x2 -95x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -95x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-95 + 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 '(-95 + 16x)' equal to zero and attempt to solve: Simplifying -95 + 16x = 0 Solving -95 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + 16x = 0 + 95 Combine like terms: -95 + 95 = 0 0 + 16x = 0 + 95 16x = 0 + 95 Combine like terms: 0 + 95 = 95 16x = 95 Divide each side by '16'. x = 5.9375 Simplifying x = 5.9375Solution
x = {0, 5.9375}
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