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Simplifying 2y2 + 19y + 30 = 0 Reorder the terms: 30 + 19y + 2y2 = 0 Solving 30 + 19y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (15 + 2y)(2 + y) = 0Subproblem 1
Set the factor '(15 + 2y)' equal to zero and attempt to solve: Simplifying 15 + 2y = 0 Solving 15 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 0 + -15 2y = 0 + -15 Combine like terms: 0 + -15 = -15 2y = -15 Divide each side by '2'. y = -7.5 Simplifying y = -7.5Subproblem 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 = {-7.5, -2}
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