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Simplifying 6y2 + 41y + 13 = 0 Reorder the terms: 13 + 41y + 6y2 = 0 Solving 13 + 41y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (13 + 2y)(1 + 3y) = 0Subproblem 1
Set the factor '(13 + 2y)' equal to zero and attempt to solve: Simplifying 13 + 2y = 0 Solving 13 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2y = 0 + -13 2y = 0 + -13 Combine like terms: 0 + -13 = -13 2y = -13 Divide each side by '2'. y = -6.5 Simplifying y = -6.5Subproblem 2
Set the factor '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 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 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {-6.5, -0.3333333333}
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