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Simplifying (7y + 23)(9y + 29) = 0 Reorder the terms: (23 + 7y)(9y + 29) = 0 Reorder the terms: (23 + 7y)(29 + 9y) = 0 Multiply (23 + 7y) * (29 + 9y) (23(29 + 9y) + 7y * (29 + 9y)) = 0 ((29 * 23 + 9y * 23) + 7y * (29 + 9y)) = 0 ((667 + 207y) + 7y * (29 + 9y)) = 0 (667 + 207y + (29 * 7y + 9y * 7y)) = 0 (667 + 207y + (203y + 63y2)) = 0 Combine like terms: 207y + 203y = 410y (667 + 410y + 63y2) = 0 Solving 667 + 410y + 63y2 = 0 Solving for variable 'y'. Factor a trinomial. (23 + 7y)(29 + 9y) = 0Subproblem 1
Set the factor '(23 + 7y)' equal to zero and attempt to solve: Simplifying 23 + 7y = 0 Solving 23 + 7y = 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 + 7y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7y = 0 + -23 7y = 0 + -23 Combine like terms: 0 + -23 = -23 7y = -23 Divide each side by '7'. y = -3.285714286 Simplifying y = -3.285714286Subproblem 2
Set the factor '(29 + 9y)' equal to zero and attempt to solve: Simplifying 29 + 9y = 0 Solving 29 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 9y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 9y = 0 + -29 9y = 0 + -29 Combine like terms: 0 + -29 = -29 9y = -29 Divide each side by '9'. y = -3.222222222 Simplifying y = -3.222222222Solution
y = {-3.285714286, -3.222222222}
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