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Simplifying 20y2 + -39y + -11 = 0 Reorder the terms: -11 + -39y + 20y2 = 0 Solving -11 + -39y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -4y)(11 + -5y) = 0Subproblem 1
Set the factor '(-1 + -4y)' equal to zero and attempt to solve: Simplifying -1 + -4y = 0 Solving -1 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 0 + 1 -4y = 0 + 1 Combine like terms: 0 + 1 = 1 -4y = 1 Divide each side by '-4'. y = -0.25 Simplifying y = -0.25Subproblem 2
Set the factor '(11 + -5y)' equal to zero and attempt to solve: Simplifying 11 + -5y = 0 Solving 11 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5y = 0 + -11 -5y = 0 + -11 Combine like terms: 0 + -11 = -11 -5y = -11 Divide each side by '-5'. y = 2.2 Simplifying y = 2.2Solution
y = {-0.25, 2.2}
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