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Simplifying (2y + -9)(4 + -1y) = 0 Reorder the terms: (-9 + 2y)(4 + -1y) = 0 Multiply (-9 + 2y) * (4 + -1y) (-9(4 + -1y) + 2y * (4 + -1y)) = 0 ((4 * -9 + -1y * -9) + 2y * (4 + -1y)) = 0 ((-36 + 9y) + 2y * (4 + -1y)) = 0 (-36 + 9y + (4 * 2y + -1y * 2y)) = 0 (-36 + 9y + (8y + -2y2)) = 0 Combine like terms: 9y + 8y = 17y (-36 + 17y + -2y2) = 0 Solving -36 + 17y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + 2y)(4 + -1y) = 0Subproblem 1
Set the factor '(-9 + 2y)' equal to zero and attempt to solve: Simplifying -9 + 2y = 0 Solving -9 + 2y = 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 + 2y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2y = 0 + 9 2y = 0 + 9 Combine like terms: 0 + 9 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {4.5, 4}
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