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Simplifying 2y2 + 34y + 60 = 0 Reorder the terms: 60 + 34y + 2y2 = 0 Solving 60 + 34y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + 17y + y2) = 0 Factor a trinomial. 2((15 + y)(2 + y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + y)' equal to zero and attempt to solve: Simplifying 15 + y = 0 Solving 15 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + y = 0 + -15 y = 0 + -15 Combine like terms: 0 + -15 = -15 y = -15 Simplifying y = -15Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {-15, -2}
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