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Simplifying 2y2 + 15y + 22 = 0 Reorder the terms: 22 + 15y + 2y2 = 0 Solving 22 + 15y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (11 + 2y)(2 + y) = 0Subproblem 1
Set the factor '(11 + 2y)' equal to zero and attempt to solve: Simplifying 11 + 2y = 0 Solving 11 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2y = 0 + -11 2y = 0 + -11 Combine like terms: 0 + -11 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5Subproblem 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 = {-5.5, -2}
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