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Simplifying (2y + -9)(2 + y) = 0 Reorder the terms: (-9 + 2y)(2 + y) = 0 Multiply (-9 + 2y) * (2 + y) (-9(2 + y) + 2y * (2 + y)) = 0 ((2 * -9 + y * -9) + 2y * (2 + y)) = 0 ((-18 + -9y) + 2y * (2 + y)) = 0 (-18 + -9y + (2 * 2y + y * 2y)) = 0 (-18 + -9y + (4y + 2y2)) = 0 Combine like terms: -9y + 4y = -5y (-18 + -5y + 2y2) = 0 Solving -18 + -5y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(9 + -2y) = 0Subproblem 1
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 = -2Subproblem 2
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 = 4.5Solution
y = {-2, 4.5}
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