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Simplifying (5 + y)(4y + 9) = 0 Reorder the terms: (5 + y)(9 + 4y) = 0 Multiply (5 + y) * (9 + 4y) (5(9 + 4y) + y(9 + 4y)) = 0 ((9 * 5 + 4y * 5) + y(9 + 4y)) = 0 ((45 + 20y) + y(9 + 4y)) = 0 (45 + 20y + (9 * y + 4y * y)) = 0 (45 + 20y + (9y + 4y2)) = 0 Combine like terms: 20y + 9y = 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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