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Simplifying x2 + -10x + 45 = 8120 Reorder the terms: 45 + -10x + x2 = 8120 Solving 45 + -10x + x2 = 8120 Solving for variable 'x'. Reorder the terms: 45 + -8120 + -10x + x2 = 8120 + -8120 Combine like terms: 45 + -8120 = -8075 -8075 + -10x + x2 = 8120 + -8120 Combine like terms: 8120 + -8120 = 0 -8075 + -10x + x2 = 0 Factor a trinomial. (-85 + -1x)(95 + -1x) = 0Subproblem 1
Set the factor '(-85 + -1x)' equal to zero and attempt to solve: Simplifying -85 + -1x = 0 Solving -85 + -1x = 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 + -1x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -1x = 0 + 85 -1x = 0 + 85 Combine like terms: 0 + 85 = 85 -1x = 85 Divide each side by '-1'. x = -85 Simplifying x = -85Subproblem 2
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 = 95Solution
x = {-85, 95}
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