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Simplifying (5y + 9)(5 + y) = 0 Reorder the terms: (9 + 5y)(5 + y) = 0 Multiply (9 + 5y) * (5 + y) (9(5 + y) + 5y * (5 + y)) = 0 ((5 * 9 + y * 9) + 5y * (5 + y)) = 0 ((45 + 9y) + 5y * (5 + y)) = 0 (45 + 9y + (5 * 5y + y * 5y)) = 0 (45 + 9y + (25y + 5y2)) = 0 Combine like terms: 9y + 25y = 34y (45 + 34y + 5y2) = 0 Solving 45 + 34y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + y)(9 + 5y) = 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 + 5y)' equal to zero and attempt to solve: Simplifying 9 + 5y = 0 Solving 9 + 5y = 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 + 5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5y = 0 + -9 5y = 0 + -9 Combine like terms: 0 + -9 = -9 5y = -9 Divide each side by '5'. y = -1.8 Simplifying y = -1.8Solution
y = {-5, -1.8}
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