11y^2+62y-24=0

Solution for 11y^2+62y-24=0 equation:

Simplifying
11y2 + 62y + -24 = 0

Reorder the terms:
-24 + 62y + 11y2 = 0

Solving
-24 + 62y + 11y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(4 + -11y) = 0

Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve:

Simplifying
-6 + -1y = 0

Solving
-6 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 0 + 6
-1y = 0 + 6

Combine like terms: 0 + 6 = 6
-1y = 6

Divide each side by '-1'.
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(4 + -11y)' equal to zero and attempt to solve:

Simplifying
4 + -11y = 0

Solving
4 + -11y = 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 + -11y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11y = 0 + -4
-11y = 0 + -4

Combine like terms: 0 + -4 = -4
-11y = -4

Divide each side by '-11'.
y = 0.3636363636

Simplifying
y = 0.3636363636
Solution
y = {-6, 0.3636363636}