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Simplifying y2 + 27y + -324 = 0 Reorder the terms: -324 + 27y + y2 = 0 Solving -324 + 27y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-36 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(-36 + -1y)' equal to zero and attempt to solve: Simplifying -36 + -1y = 0 Solving -36 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1y = 0 + 36 -1y = 0 + 36 Combine like terms: 0 + 36 = 36 -1y = 36 Divide each side by '-1'. y = -36 Simplifying y = -36Subproblem 2
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 = 9Solution
y = {-36, 9}
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