11y^2-54y-5=0

Solution for 11y^2-54y-5=0 equation:

Simplifying
11y2 + -54y + -5 = 0

Reorder the terms:
-5 + -54y + 11y2 = 0

Solving
-5 + -54y + 11y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -11y)(5 + -1y) = 0

Subproblem 1
Set the factor '(-1 + -11y)' equal to zero and attempt to solve:

Simplifying
-1 + -11y = 0

Solving
-1 + -11y = 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 + -11y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -11y = 0 + 1
-11y = 0 + 1

Combine like terms: 0 + 1 = 1
-11y = 1

Divide each side by '-11'.
y = -0.09090909091

Simplifying
y = -0.09090909091
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-0.09090909091, 5}