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Simplifying 13y2 + 60y + -25 = 0 Reorder the terms: -25 + 60y + 13y2 = 0 Solving -25 + 60y + 13y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -1y)(5 + -13y) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(5 + -13y)' equal to zero and attempt to solve: Simplifying 5 + -13y = 0 Solving 5 + -13y = 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 + -13y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -13y = 0 + -5 -13y = 0 + -5 Combine like terms: 0 + -5 = -5 -13y = -5 Divide each side by '-13'. y = 0.3846153846 Simplifying y = 0.3846153846Solution
y = {-5, 0.3846153846}
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