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Simplifying (9y + 23)(2y + 9) = 0 Reorder the terms: (23 + 9y)(2y + 9) = 0 Reorder the terms: (23 + 9y)(9 + 2y) = 0 Multiply (23 + 9y) * (9 + 2y) (23(9 + 2y) + 9y * (9 + 2y)) = 0 ((9 * 23 + 2y * 23) + 9y * (9 + 2y)) = 0 ((207 + 46y) + 9y * (9 + 2y)) = 0 (207 + 46y + (9 * 9y + 2y * 9y)) = 0 (207 + 46y + (81y + 18y2)) = 0 Combine like terms: 46y + 81y = 127y (207 + 127y + 18y2) = 0 Solving 207 + 127y + 18y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + 2y)(23 + 9y) = 0Subproblem 1
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 = -4.5Subproblem 2
Set the factor '(23 + 9y)' equal to zero and attempt to solve: Simplifying 23 + 9y = 0 Solving 23 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 9y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 9y = 0 + -23 9y = 0 + -23 Combine like terms: 0 + -23 = -23 9y = -23 Divide each side by '9'. y = -2.555555556 Simplifying y = -2.555555556Solution
y = {-4.5, -2.555555556}
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