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Simplifying (9y + 29)(7y + 22) = 0 Reorder the terms: (29 + 9y)(7y + 22) = 0 Reorder the terms: (29 + 9y)(22 + 7y) = 0 Multiply (29 + 9y) * (22 + 7y) (29(22 + 7y) + 9y * (22 + 7y)) = 0 ((22 * 29 + 7y * 29) + 9y * (22 + 7y)) = 0 ((638 + 203y) + 9y * (22 + 7y)) = 0 (638 + 203y + (22 * 9y + 7y * 9y)) = 0 (638 + 203y + (198y + 63y2)) = 0 Combine like terms: 203y + 198y = 401y (638 + 401y + 63y2) = 0 Solving 638 + 401y + 63y2 = 0 Solving for variable 'y'. Factor a trinomial. (29 + 9y)(22 + 7y) = 0Subproblem 1
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 = -3.222222222Subproblem 2
Set the factor '(22 + 7y)' equal to zero and attempt to solve: Simplifying 22 + 7y = 0 Solving 22 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 7y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 7y = 0 + -22 7y = 0 + -22 Combine like terms: 0 + -22 = -22 7y = -22 Divide each side by '7'. y = -3.142857143 Simplifying y = -3.142857143Solution
y = {-3.222222222, -3.142857143}
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