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Simplifying 0 = x2 + -22x + 85 Reorder the terms: 0 = 85 + -22x + x2 Solving 0 = 85 + -22x + x2 Solving for variable 'x'. Combine like terms: 0 + -85 = -85 -85 + 22x + -1x2 = 85 + -22x + x2 + -85 + 22x + -1x2 Reorder the terms: -85 + 22x + -1x2 = 85 + -85 + -22x + 22x + x2 + -1x2 Combine like terms: 85 + -85 = 0 -85 + 22x + -1x2 = 0 + -22x + 22x + x2 + -1x2 -85 + 22x + -1x2 = -22x + 22x + x2 + -1x2 Combine like terms: -22x + 22x = 0 -85 + 22x + -1x2 = 0 + x2 + -1x2 -85 + 22x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -85 + 22x + -1x2 = 0 Factor a trinomial. (-17 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-17 + x)' equal to zero and attempt to solve: Simplifying -17 + x = 0 Solving -17 + x = 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 + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x = 0 + 17 x = 0 + 17 Combine like terms: 0 + 17 = 17 x = 17 Simplifying x = 17Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {17, 5}
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