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Simplifying (4y + -9)(2 + -1y) = 0 Reorder the terms: (-9 + 4y)(2 + -1y) = 0 Multiply (-9 + 4y) * (2 + -1y) (-9(2 + -1y) + 4y * (2 + -1y)) = 0 ((2 * -9 + -1y * -9) + 4y * (2 + -1y)) = 0 ((-18 + 9y) + 4y * (2 + -1y)) = 0 (-18 + 9y + (2 * 4y + -1y * 4y)) = 0 (-18 + 9y + (8y + -4y2)) = 0 Combine like terms: 9y + 8y = 17y (-18 + 17y + -4y2) = 0 Solving -18 + 17y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + 4y)(2 + -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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {2.25, 2}
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