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Simplifying 8075 = x2 + -10x Reorder the terms: 8075 = -10x + x2 Solving 8075 = -10x + x2 Solving for variable 'x'. Reorder the terms: 8075 + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 8075 + 10x + -1x2 = 0 + x2 + -1x2 8075 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8075 + 10x + -1x2 = 0 Factor a trinomial. (95 + -1x)(85 + x) = 0Subproblem 1
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 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 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Subproblem 2
Set the factor '(85 + x)' equal to zero and attempt to solve: Simplifying 85 + x = 0 Solving 85 + x = 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 + x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + x = 0 + -85 x = 0 + -85 Combine like terms: 0 + -85 = -85 x = -85 Simplifying x = -85Solution
x = {95, -85}
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