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Simplifying -16y = 2y2 + 30 Reorder the terms: -16y = 30 + 2y2 Solving -16y = 30 + 2y2 Solving for variable 'y'. Reorder the terms: -30 + -16y + -2y2 = 30 + 2y2 + -30 + -2y2 Reorder the terms: -30 + -16y + -2y2 = 30 + -30 + 2y2 + -2y2 Combine like terms: 30 + -30 = 0 -30 + -16y + -2y2 = 0 + 2y2 + -2y2 -30 + -16y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -30 + -16y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(15 + 8y + y2) = 0 Factor a trinomial. -2((5 + y)(3 + y)) = 0 Ignore the factor -2.Subproblem 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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