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Simplifying 17y2 + 24y + -20 = 0 Reorder the terms: -20 + 24y + 17y2 = 0 Solving -20 + 24y + 17y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(10 + -17y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(10 + -17y)' equal to zero and attempt to solve: Simplifying 10 + -17y = 0 Solving 10 + -17y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -17y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -17y = 0 + -10 -17y = 0 + -10 Combine like terms: 0 + -10 = -10 -17y = -10 Divide each side by '-17'. y = 0.5882352941 Simplifying y = 0.5882352941Solution
y = {-2, 0.5882352941}
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