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Simplifying (9y + 11)(4y + 5) = 0 Reorder the terms: (11 + 9y)(4y + 5) = 0 Reorder the terms: (11 + 9y)(5 + 4y) = 0 Multiply (11 + 9y) * (5 + 4y) (11(5 + 4y) + 9y * (5 + 4y)) = 0 ((5 * 11 + 4y * 11) + 9y * (5 + 4y)) = 0 ((55 + 44y) + 9y * (5 + 4y)) = 0 (55 + 44y + (5 * 9y + 4y * 9y)) = 0 (55 + 44y + (45y + 36y2)) = 0 Combine like terms: 44y + 45y = 89y (55 + 89y + 36y2) = 0 Solving 55 + 89y + 36y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + 4y)(11 + 9y) = 0Subproblem 1
Set the factor '(5 + 4y)' equal to zero and attempt to solve: Simplifying 5 + 4y = 0 Solving 5 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 0 + -5 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4y = -5 Divide each side by '4'. y = -1.25 Simplifying y = -1.25Subproblem 2
Set the factor '(11 + 9y)' equal to zero and attempt to solve: Simplifying 11 + 9y = 0 Solving 11 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9y = 0 + -11 9y = 0 + -11 Combine like terms: 0 + -11 = -11 9y = -11 Divide each side by '9'. y = -1.222222222 Simplifying y = -1.222222222Solution
y = {-1.25, -1.222222222}
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