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Simplifying y2 + -2y = 323 Reorder the terms: -2y + y2 = 323 Solving -2y + y2 = 323 Solving for variable 'y'. Reorder the terms: -323 + -2y + y2 = 323 + -323 Combine like terms: 323 + -323 = 0 -323 + -2y + y2 = 0 Factor a trinomial. (-17 + -1y)(19 + -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 '(19 + -1y)' equal to zero and attempt to solve: Simplifying 19 + -1y = 0 Solving 19 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1y = 0 + -19 -1y = 0 + -19 Combine like terms: 0 + -19 = -19 -1y = -19 Divide each side by '-1'. y = 19 Simplifying y = 19Solution
y = {-17, 19}
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