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Simplifying (2 + -1y)(2y + -9) = 0 Reorder the terms: (2 + -1y)(-9 + 2y) = 0 Multiply (2 + -1y) * (-9 + 2y) (2(-9 + 2y) + -1y * (-9 + 2y)) = 0 ((-9 * 2 + 2y * 2) + -1y * (-9 + 2y)) = 0 ((-18 + 4y) + -1y * (-9 + 2y)) = 0 (-18 + 4y + (-9 * -1y + 2y * -1y)) = 0 (-18 + 4y + (9y + -2y2)) = 0 Combine like terms: 4y + 9y = 13y (-18 + 13y + -2y2) = 0 Solving -18 + 13y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + 2y)(2 + -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 '(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 = {4.5, 2}
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