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Simplifying 9y = 2y2 + -5 Reorder the terms: 9y = -5 + 2y2 Solving 9y = -5 + 2y2 Solving for variable 'y'. Reorder the terms: 5 + 9y + -2y2 = -5 + 2y2 + 5 + -2y2 Reorder the terms: 5 + 9y + -2y2 = -5 + 5 + 2y2 + -2y2 Combine like terms: -5 + 5 = 0 5 + 9y + -2y2 = 0 + 2y2 + -2y2 5 + 9y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 5 + 9y + -2y2 = 0 Factor a trinomial. (5 + -1y)(1 + 2y) = 0Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {5, -0.5}
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