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Simplifying -130 + 16y + 2y2 = 0 Solving -130 + 16y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-65 + 8y + y2) = 0 Factor a trinomial. 2((-13 + -1y)(5 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + -1y)' equal to zero and attempt to solve: Simplifying -13 + -1y = 0 Solving -13 + -1y = 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 + -1y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1y = 0 + 13 -1y = 0 + 13 Combine like terms: 0 + 13 = 13 -1y = 13 Divide each side by '-1'. y = -13 Simplifying y = -13Subproblem 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 = {-13, 5}
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