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Simplifying 20y2 + -9y + -20 = 0 Reorder the terms: -20 + -9y + 20y2 = 0 Solving -20 + -9y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -5y)(5 + -4y) = 0Subproblem 1
Set the factor '(-4 + -5y)' equal to zero and attempt to solve: Simplifying -4 + -5y = 0 Solving -4 + -5y = 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 + -5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5y = 0 + 4 -5y = 0 + 4 Combine like terms: 0 + 4 = 4 -5y = 4 Divide each side by '-5'. y = -0.8 Simplifying y = -0.8Subproblem 2
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 = 1.25Solution
y = {-0.8, 1.25}
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