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Simplifying y2 + -27y + 162 = 0 Reorder the terms: 162 + -27y + y2 = 0 Solving 162 + -27y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -1y)(18 + -1y) = 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 '(18 + -1y)' equal to zero and attempt to solve: Simplifying 18 + -1y = 0 Solving 18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1y = 0 + -18 -1y = 0 + -18 Combine like terms: 0 + -18 = -18 -1y = -18 Divide each side by '-1'. y = 18 Simplifying y = 18Solution
y = {9, 18}
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