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Simplifying 0 = y2 + -7y + -18 Reorder the terms: 0 = -18 + -7y + y2 Solving 0 = -18 + -7y + y2 Solving for variable 'y'. Combine like terms: 0 + 18 = 18 18 + 7y + -1y2 = -18 + -7y + y2 + 18 + 7y + -1y2 Reorder the terms: 18 + 7y + -1y2 = -18 + 18 + -7y + 7y + y2 + -1y2 Combine like terms: -18 + 18 = 0 18 + 7y + -1y2 = 0 + -7y + 7y + y2 + -1y2 18 + 7y + -1y2 = -7y + 7y + y2 + -1y2 Combine like terms: -7y + 7y = 0 18 + 7y + -1y2 = 0 + y2 + -1y2 18 + 7y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 18 + 7y + -1y2 = 0 Factor a trinomial. (9 + -1y)(2 + y) = 0Subproblem 1
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 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 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {9, -2}
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