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Simplifying 2y2 = -15y + -13 Reorder the terms: 2y2 = -13 + -15y Solving 2y2 = -13 + -15y Solving for variable 'y'. Reorder the terms: 13 + 15y + 2y2 = -13 + -15y + 13 + 15y Reorder the terms: 13 + 15y + 2y2 = -13 + 13 + -15y + 15y Combine like terms: -13 + 13 = 0 13 + 15y + 2y2 = 0 + -15y + 15y 13 + 15y + 2y2 = -15y + 15y Combine like terms: -15y + 15y = 0 13 + 15y + 2y2 = 0 Factor a trinomial. (13 + 2y)(1 + y) = 0Subproblem 1
Set the factor '(13 + 2y)' equal to zero and attempt to solve: Simplifying 13 + 2y = 0 Solving 13 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2y = 0 + -13 2y = 0 + -13 Combine like terms: 0 + -13 = -13 2y = -13 Divide each side by '2'. y = -6.5 Simplifying y = -6.5Subproblem 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 = {-6.5, -1}
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