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Simplifying 0 = y2 + 5y + -36 Reorder the terms: 0 = -36 + 5y + y2 Solving 0 = -36 + 5y + y2 Solving for variable 'y'. Combine like terms: 0 + 36 = 36 36 + -5y + -1y2 = -36 + 5y + y2 + 36 + -5y + -1y2 Reorder the terms: 36 + -5y + -1y2 = -36 + 36 + 5y + -5y + y2 + -1y2 Combine like terms: -36 + 36 = 0 36 + -5y + -1y2 = 0 + 5y + -5y + y2 + -1y2 36 + -5y + -1y2 = 5y + -5y + y2 + -1y2 Combine like terms: 5y + -5y = 0 36 + -5y + -1y2 = 0 + y2 + -1y2 36 + -5y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 36 + -5y + -1y2 = 0 Factor a trinomial. (4 + -1y)(9 + y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Solution
y = {4, -9}
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