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Simplifying y2 + 12y + -85 = 0 Reorder the terms: -85 + 12y + y2 = 0 Solving -85 + 12y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-17 + -1y)(5 + -1y) = 0Subproblem 1
Set the factor '(-17 + -1y)' equal to zero and attempt to solve: Simplifying -17 + -1y = 0 Solving -17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1y = 0 + 17 -1y = 0 + 17 Combine like terms: 0 + 17 = 17 -1y = 17 Divide each side by '-1'. y = -17 Simplifying y = -17Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-17, 5}
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