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Simplifying (9 + y)(5y + 4) = 0 Reorder the terms: (9 + y)(4 + 5y) = 0 Multiply (9 + y) * (4 + 5y) (9(4 + 5y) + y(4 + 5y)) = 0 ((4 * 9 + 5y * 9) + y(4 + 5y)) = 0 ((36 + 45y) + y(4 + 5y)) = 0 (36 + 45y + (4 * y + 5y * y)) = 0 (36 + 45y + (4y + 5y2)) = 0 Combine like terms: 45y + 4y = 49y (36 + 49y + 5y2) = 0 Solving 36 + 49y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + y)(4 + 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 '(4 + 5y)' equal to zero and attempt to solve: Simplifying 4 + 5y = 0 Solving 4 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 0 + -4 5y = 0 + -4 Combine like terms: 0 + -4 = -4 5y = -4 Divide each side by '5'. y = -0.8 Simplifying y = -0.8Solution
y = {-9, -0.8}
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