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Simplifying (4y + 9)(5 + y) = 0 Reorder the terms: (9 + 4y)(5 + y) = 0 Multiply (9 + 4y) * (5 + y) (9(5 + y) + 4y * (5 + y)) = 0 ((5 * 9 + y * 9) + 4y * (5 + y)) = 0 ((45 + 9y) + 4y * (5 + y)) = 0 (45 + 9y + (5 * 4y + y * 4y)) = 0 (45 + 9y + (20y + 4y2)) = 0 Combine like terms: 9y + 20y = 29y (45 + 29y + 4y2) = 0 Solving 45 + 29y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + y)(9 + 4y) = 0Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(9 + 4y)' equal to zero and attempt to solve: Simplifying 9 + 4y = 0 Solving 9 + 4y = 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 + 4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 0 + -9 4y = 0 + -9 Combine like terms: 0 + -9 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25Solution
y = {-5, -2.25}
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