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Simplifying 2y2 + 2y = 60 Reorder the terms: 2y + 2y2 = 60 Solving 2y + 2y2 = 60 Solving for variable 'y'. Reorder the terms: -60 + 2y + 2y2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 2y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + y + y2) = 0 Factor a trinomial. 2((-6 + -1y)(5 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-6, 5}
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