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Simplifying (5y + 23)(9y + 22) = 0 Reorder the terms: (23 + 5y)(9y + 22) = 0 Reorder the terms: (23 + 5y)(22 + 9y) = 0 Multiply (23 + 5y) * (22 + 9y) (23(22 + 9y) + 5y * (22 + 9y)) = 0 ((22 * 23 + 9y * 23) + 5y * (22 + 9y)) = 0 ((506 + 207y) + 5y * (22 + 9y)) = 0 (506 + 207y + (22 * 5y + 9y * 5y)) = 0 (506 + 207y + (110y + 45y2)) = 0 Combine like terms: 207y + 110y = 317y (506 + 317y + 45y2) = 0 Solving 506 + 317y + 45y2 = 0 Solving for variable 'y'. Factor a trinomial. (23 + 5y)(22 + 9y) = 0Subproblem 1
Set the factor '(23 + 5y)' equal to zero and attempt to solve: Simplifying 23 + 5y = 0 Solving 23 + 5y = 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 + 5y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5y = 0 + -23 5y = 0 + -23 Combine like terms: 0 + -23 = -23 5y = -23 Divide each side by '5'. y = -4.6 Simplifying y = -4.6Subproblem 2
Set the factor '(22 + 9y)' equal to zero and attempt to solve: Simplifying 22 + 9y = 0 Solving 22 + 9y = 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 + 9y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9y = 0 + -22 9y = 0 + -22 Combine like terms: 0 + -22 = -22 9y = -22 Divide each side by '9'. y = -2.444444444 Simplifying y = -2.444444444Solution
y = {-4.6, -2.444444444}
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