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Simplifying 3y2 + 19y + 26 = 0 Reorder the terms: 26 + 19y + 3y2 = 0 Solving 26 + 19y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (13 + 3y)(2 + 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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {-4.333333333, -2}
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