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Simplifying 9y2 + -31y = 20 Reorder the terms: -31y + 9y2 = 20 Solving -31y + 9y2 = 20 Solving for variable 'y'. Reorder the terms: -20 + -31y + 9y2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -31y + 9y2 = 0 Factor a trinomial. (-5 + -9y)(4 + -1y) = 0Subproblem 1
Set the factor '(-5 + -9y)' equal to zero and attempt to solve: Simplifying -5 + -9y = 0 Solving -5 + -9y = 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 + -9y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9y = 0 + 5 -9y = 0 + 5 Combine like terms: 0 + 5 = 5 -9y = 5 Divide each side by '-9'. y = -0.5555555556 Simplifying y = -0.5555555556Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-0.5555555556, 4}
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