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Simplifying (y + -8)(4y + -9) = 0 Reorder the terms: (-8 + y)(4y + -9) = 0 Reorder the terms: (-8 + y)(-9 + 4y) = 0 Multiply (-8 + y) * (-9 + 4y) (-8(-9 + 4y) + y(-9 + 4y)) = 0 ((-9 * -8 + 4y * -8) + y(-9 + 4y)) = 0 ((72 + -32y) + y(-9 + 4y)) = 0 (72 + -32y + (-9 * y + 4y * y)) = 0 (72 + -32y + (-9y + 4y2)) = 0 Combine like terms: -32y + -9y = -41y (72 + -41y + 4y2) = 0 Solving 72 + -41y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -4y)(8 + -1y) = 0Subproblem 1
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 = 2.25Subproblem 2
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 = 8Solution
y = {2.25, 8}
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