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Simplifying y2 = 6y + 27 Reorder the terms: y2 = 27 + 6y Solving y2 = 27 + 6y Solving for variable 'y'. Reorder the terms: -27 + -6y + y2 = 27 + 6y + -27 + -6y Reorder the terms: -27 + -6y + y2 = 27 + -27 + 6y + -6y Combine like terms: 27 + -27 = 0 -27 + -6y + y2 = 0 + 6y + -6y -27 + -6y + y2 = 6y + -6y Combine like terms: 6y + -6y = 0 -27 + -6y + y2 = 0 Factor a trinomial. (-3 + -1y)(9 + -1y) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, 9}
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