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Simplifying 24y2 + 41y + 12 = 0 Reorder the terms: 12 + 41y + 24y2 = 0 Solving 12 + 41y + 24y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + 3y)(3 + 8y) = 0Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 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 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 2
Set the factor '(3 + 8y)' equal to zero and attempt to solve: Simplifying 3 + 8y = 0 Solving 3 + 8y = 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 + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = 0 + -3 8y = 0 + -3 Combine like terms: 0 + -3 = -3 8y = -3 Divide each side by '8'. y = -0.375 Simplifying y = -0.375Solution
y = {-1.333333333, -0.375}
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