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Simplifying 0 = y2 + -12y + 27 Reorder the terms: 0 = 27 + -12y + y2 Solving 0 = 27 + -12y + y2 Solving for variable 'y'. Combine like terms: 0 + -27 = -27 -27 + 12y + -1y2 = 27 + -12y + y2 + -27 + 12y + -1y2 Reorder the terms: -27 + 12y + -1y2 = 27 + -27 + -12y + 12y + y2 + -1y2 Combine like terms: 27 + -27 = 0 -27 + 12y + -1y2 = 0 + -12y + 12y + y2 + -1y2 -27 + 12y + -1y2 = -12y + 12y + y2 + -1y2 Combine like terms: -12y + 12y = 0 -27 + 12y + -1y2 = 0 + y2 + -1y2 -27 + 12y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -27 + 12y + -1y2 = 0 Factor a trinomial. (-9 + y)(3 + -1y) = 0Subproblem 1
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 = 9Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {9, 3}
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