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Simplifying 36y2 + 13y + -40 = 0 Reorder the terms: -40 + 13y + 36y2 = 0 Solving -40 + 13y + 36y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -4y)(8 + -9y) = 0Subproblem 1
Set the factor '(-5 + -4y)' equal to zero and attempt to solve: Simplifying -5 + -4y = 0 Solving -5 + -4y = 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 + -4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4y = 0 + 5 -4y = 0 + 5 Combine like terms: 0 + 5 = 5 -4y = 5 Divide each side by '-4'. y = -1.25 Simplifying y = -1.25Subproblem 2
Set the factor '(8 + -9y)' equal to zero and attempt to solve: Simplifying 8 + -9y = 0 Solving 8 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = 0 + -8 -9y = 0 + -8 Combine like terms: 0 + -8 = -8 -9y = -8 Divide each side by '-9'. y = 0.8888888889 Simplifying y = 0.8888888889Solution
y = {-1.25, 0.8888888889}
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