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Simplifying 0 = -16x2 + 85x Reorder the terms: 0 = 85x + -16x2 Solving 0 = 85x + -16x2 Solving for variable 'x'. Remove the zero: -85x + 16x2 = 85x + -16x2 + -85x + 16x2 Reorder the terms: -85x + 16x2 = 85x + -85x + -16x2 + 16x2 Combine like terms: 85x + -85x = 0 -85x + 16x2 = 0 + -16x2 + 16x2 -85x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -85x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-85 + 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 '(-85 + 16x)' equal to zero and attempt to solve: Simplifying -85 + 16x = 0 Solving -85 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 16x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + 16x = 0 + 85 16x = 0 + 85 Combine like terms: 0 + 85 = 85 16x = 85 Divide each side by '16'. x = 5.3125 Simplifying x = 5.3125Solution
x = {0, 5.3125}
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