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Simplifying (5y + 9)(5 + -1y) = 0 Reorder the terms: (9 + 5y)(5 + -1y) = 0 Multiply (9 + 5y) * (5 + -1y) (9(5 + -1y) + 5y * (5 + -1y)) = 0 ((5 * 9 + -1y * 9) + 5y * (5 + -1y)) = 0 ((45 + -9y) + 5y * (5 + -1y)) = 0 (45 + -9y + (5 * 5y + -1y * 5y)) = 0 (45 + -9y + (25y + -5y2)) = 0 Combine like terms: -9y + 25y = 16y (45 + 16y + -5y2) = 0 Solving 45 + 16y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -1y)(9 + 5y) = 0Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. 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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