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Simplifying 3y2 + 11y + -60 = 0 Reorder the terms: -60 + 11y + 3y2 = 0 Solving -60 + 11y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-20 + -3y)(3 + -1y) = 0Subproblem 1
Set the factor '(-20 + -3y)' equal to zero and attempt to solve: Simplifying -20 + -3y = 0 Solving -20 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3y = 0 + 20 -3y = 0 + 20 Combine like terms: 0 + 20 = 20 -3y = 20 Divide each side by '-3'. y = -6.666666667 Simplifying y = -6.666666667Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-6.666666667, 3}
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