12y^2+41y+24=0

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Solution for 12y^2+41y+24=0 equation:


Simplifying
12y2 + 41y + 24 = 0

Reorder the terms:
24 + 41y + 12y2 = 0

Solving
24 + 41y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + 3y)(3 + 4y) = 0

Subproblem 1

Set the factor '(8 + 3y)' equal to zero and attempt to solve: Simplifying 8 + 3y = 0 Solving 8 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 0 + -8 3y = 0 + -8 Combine like terms: 0 + -8 = -8 3y = -8 Divide each side by '3'. y = -2.666666667 Simplifying y = -2.666666667

Subproblem 2

Set the factor '(3 + 4y)' equal to zero and attempt to solve: Simplifying 3 + 4y = 0 Solving 3 + 4y = 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 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75

Solution

y = {-2.666666667, -0.75}

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