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Simplifying (2y + 9)(8 + y) = 0 Reorder the terms: (9 + 2y)(8 + y) = 0 Multiply (9 + 2y) * (8 + y) (9(8 + y) + 2y * (8 + y)) = 0 ((8 * 9 + y * 9) + 2y * (8 + y)) = 0 ((72 + 9y) + 2y * (8 + y)) = 0 (72 + 9y + (8 * 2y + y * 2y)) = 0 (72 + 9y + (16y + 2y2)) = 0 Combine like terms: 9y + 16y = 25y (72 + 25y + 2y2) = 0 Solving 72 + 25y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + y)(9 + 2y) = 0Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8Subproblem 2
Set the factor '(9 + 2y)' equal to zero and attempt to solve: Simplifying 9 + 2y = 0 Solving 9 + 2y = 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 + 2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 0 + -9 2y = 0 + -9 Combine like terms: 0 + -9 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5Solution
y = {-8, -4.5}
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