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Simplifying 0 = -10x2 + 85x Reorder the terms: 0 = 85x + -10x2 Solving 0 = 85x + -10x2 Solving for variable 'x'. Remove the zero: -85x + 10x2 = 85x + -10x2 + -85x + 10x2 Reorder the terms: -85x + 10x2 = 85x + -85x + -10x2 + 10x2 Combine like terms: 85x + -85x = 0 -85x + 10x2 = 0 + -10x2 + 10x2 -85x + 10x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 -85x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-17 + 2x) = 0 Ignore the factor 5.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 '(-17 + 2x)' equal to zero and attempt to solve: Simplifying -17 + 2x = 0 Solving -17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 0 + 17 2x = 0 + 17 Combine like terms: 0 + 17 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5Solution
x = {0, 8.5}
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