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Simplifying y2 + 19y + 34 = 0 Reorder the terms: 34 + 19y + y2 = 0 Solving 34 + 19y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (17 + y)(2 + y) = 0Subproblem 1
Set the factor '(17 + y)' equal to zero and attempt to solve: Simplifying 17 + y = 0 Solving 17 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + y = 0 + -17 y = 0 + -17 Combine like terms: 0 + -17 = -17 y = -17 Simplifying y = -17Subproblem 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 = {-17, -2}
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