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Simplifying 2y2 + 27y + 25 = 0 Reorder the terms: 25 + 27y + 2y2 = 0 Solving 25 + 27y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (25 + 2y)(1 + y) = 0Subproblem 1
Set the factor '(25 + 2y)' equal to zero and attempt to solve: Simplifying 25 + 2y = 0 Solving 25 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2y = 0 + -25 2y = 0 + -25 Combine like terms: 0 + -25 = -25 2y = -25 Divide each side by '2'. y = -12.5 Simplifying y = -12.5Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-12.5, -1}
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