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Simplifying 2y2 + 35y + 17 = 0 Reorder the terms: 17 + 35y + 2y2 = 0 Solving 17 + 35y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (17 + y)(1 + 2y) = 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 '(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 = {-17, -0.5}
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