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Simplifying 3y2 = -22y + -39 Reorder the terms: 3y2 = -39 + -22y Solving 3y2 = -39 + -22y Solving for variable 'y'. Reorder the terms: 39 + 22y + 3y2 = -39 + -22y + 39 + 22y Reorder the terms: 39 + 22y + 3y2 = -39 + 39 + -22y + 22y Combine like terms: -39 + 39 = 0 39 + 22y + 3y2 = 0 + -22y + 22y 39 + 22y + 3y2 = -22y + 22y Combine like terms: -22y + 22y = 0 39 + 22y + 3y2 = 0 Factor a trinomial. (13 + 3y)(3 + y) = 0Subproblem 1
Set the factor '(13 + 3y)' equal to zero and attempt to solve: Simplifying 13 + 3y = 0 Solving 13 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3y = 0 + -13 3y = 0 + -13 Combine like terms: 0 + -13 = -13 3y = -13 Divide each side by '3'. y = -4.333333333 Simplifying y = -4.333333333Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {-4.333333333, -3}
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