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Simplifying y2 = -8y + -15 Reorder the terms: y2 = -15 + -8y Solving y2 = -15 + -8y Solving for variable 'y'. Reorder the terms: 15 + 8y + y2 = -15 + -8y + 15 + 8y Reorder the terms: 15 + 8y + y2 = -15 + 15 + -8y + 8y Combine like terms: -15 + 15 = 0 15 + 8y + y2 = 0 + -8y + 8y 15 + 8y + y2 = -8y + 8y Combine like terms: -8y + 8y = 0 15 + 8y + y2 = 0 Factor a trinomial. (5 + y)(3 + y) = 0Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {-5, -3}
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