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Simplifying (5y + 8)(9 + y) = 0 Reorder the terms: (8 + 5y)(9 + y) = 0 Multiply (8 + 5y) * (9 + y) (8(9 + y) + 5y * (9 + y)) = 0 ((9 * 8 + y * 8) + 5y * (9 + y)) = 0 ((72 + 8y) + 5y * (9 + y)) = 0 (72 + 8y + (9 * 5y + y * 5y)) = 0 (72 + 8y + (45y + 5y2)) = 0 Combine like terms: 8y + 45y = 53y (72 + 53y + 5y2) = 0 Solving 72 + 53y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + y)(8 + 5y) = 0Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 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 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Subproblem 2
Set the factor '(8 + 5y)' equal to zero and attempt to solve: Simplifying 8 + 5y = 0 Solving 8 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 0 + -8 5y = 0 + -8 Combine like terms: 0 + -8 = -8 5y = -8 Divide each side by '5'. y = -1.6 Simplifying y = -1.6Solution
y = {-9, -1.6}
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