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Simplifying (4y + 9)(8 + -1y) = 0 Reorder the terms: (9 + 4y)(8 + -1y) = 0 Multiply (9 + 4y) * (8 + -1y) (9(8 + -1y) + 4y * (8 + -1y)) = 0 ((8 * 9 + -1y * 9) + 4y * (8 + -1y)) = 0 ((72 + -9y) + 4y * (8 + -1y)) = 0 (72 + -9y + (8 * 4y + -1y * 4y)) = 0 (72 + -9y + (32y + -4y2)) = 0 Combine like terms: -9y + 32y = 23y (72 + 23y + -4y2) = 0 Solving 72 + 23y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + -1y)(9 + 4y) = 0Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 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 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Subproblem 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 = {8, -2.25}
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