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Simplifying (9 + -1y)(2y + -5) = 0 Reorder the terms: (9 + -1y)(-5 + 2y) = 0 Multiply (9 + -1y) * (-5 + 2y) (9(-5 + 2y) + -1y * (-5 + 2y)) = 0 ((-5 * 9 + 2y * 9) + -1y * (-5 + 2y)) = 0 ((-45 + 18y) + -1y * (-5 + 2y)) = 0 (-45 + 18y + (-5 * -1y + 2y * -1y)) = 0 (-45 + 18y + (5y + -2y2)) = 0 Combine like terms: 18y + 5y = 23y (-45 + 23y + -2y2) = 0 Solving -45 + 23y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + y)(5 + -2y) = 0Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 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 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 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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