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Simplifying (9 + y)(2y + -5) = 0 Reorder the terms: (9 + y)(-5 + 2y) = 0 Multiply (9 + y) * (-5 + 2y) (9(-5 + 2y) + y(-5 + 2y)) = 0 ((-5 * 9 + 2y * 9) + y(-5 + 2y)) = 0 ((-45 + 18y) + y(-5 + 2y)) = 0 (-45 + 18y + (-5 * y + 2y * y)) = 0 (-45 + 18y + (-5y + 2y2)) = 0 Combine like terms: 18y + -5y = 13y (-45 + 13y + 2y2) = 0 Solving -45 + 13y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y)(5 + -2y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 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 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {-9, 2.5}
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