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Simplifying 0 = 3y2 + -26y + -9 Reorder the terms: 0 = -9 + -26y + 3y2 Solving 0 = -9 + -26y + 3y2 Solving for variable 'y'. Combine like terms: 0 + 9 = 9 9 + 26y + -3y2 = -9 + -26y + 3y2 + 9 + 26y + -3y2 Reorder the terms: 9 + 26y + -3y2 = -9 + 9 + -26y + 26y + 3y2 + -3y2 Combine like terms: -9 + 9 = 0 9 + 26y + -3y2 = 0 + -26y + 26y + 3y2 + -3y2 9 + 26y + -3y2 = -26y + 26y + 3y2 + -3y2 Combine like terms: -26y + 26y = 0 9 + 26y + -3y2 = 0 + 3y2 + -3y2 9 + 26y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 9 + 26y + -3y2 = 0 Factor a trinomial. (9 + -1y)(1 + 3y) = 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 '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 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 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {9, -0.3333333333}
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