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Simplifying 36y2 + -60y = -25 Reorder the terms: -60y + 36y2 = -25 Solving -60y + 36y2 = -25 Solving for variable 'y'. Reorder the terms: 25 + -60y + 36y2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -60y + 36y2 = 0 Factor a trinomial. (5 + -6y)(5 + -6y) = 0Subproblem 1
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 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 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Subproblem 2
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 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 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {0.8333333333, 0.8333333333}
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