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Simplifying x2 + -5x + 55 = 8605 Reorder the terms: 55 + -5x + x2 = 8605 Solving 55 + -5x + x2 = 8605 Solving for variable 'x'. Reorder the terms: 55 + -8605 + -5x + x2 = 8605 + -8605 Combine like terms: 55 + -8605 = -8550 -8550 + -5x + x2 = 8605 + -8605 Combine like terms: 8605 + -8605 = 0 -8550 + -5x + x2 = 0 Factor a trinomial. (-90 + -1x)(95 + -1x) = 0Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve: Simplifying -90 + -1x = 0 Solving -90 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -1x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -1x = 0 + 90 -1x = 0 + 90 Combine like terms: 0 + 90 = 90 -1x = 90 Divide each side by '-1'. x = -90 Simplifying x = -90Subproblem 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 = {-90, 95}
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