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Simplifying y2 + -9y = 4y + -36 Reorder the terms: -9y + y2 = 4y + -36 Reorder the terms: -9y + y2 = -36 + 4y Solving -9y + y2 = -36 + 4y Solving for variable 'y'. Reorder the terms: 36 + -9y + -4y + y2 = -36 + 4y + 36 + -4y Combine like terms: -9y + -4y = -13y 36 + -13y + y2 = -36 + 4y + 36 + -4y Reorder the terms: 36 + -13y + y2 = -36 + 36 + 4y + -4y Combine like terms: -36 + 36 = 0 36 + -13y + y2 = 0 + 4y + -4y 36 + -13y + y2 = 4y + -4y Combine like terms: 4y + -4y = 0 36 + -13y + y2 = 0 Factor a trinomial. (4 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 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 = {4, 9}
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