6y^2+11y+5=0

Solution for 6y^2+11y+5=0 equation:

Simplifying
6y2 + 11y + 5 = 0

Reorder the terms:
5 + 11y + 6y2 = 0

Solving
5 + 11y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + y)(5 + 6y) = 0

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

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1
Subproblem 2
Set the factor '(5 + 6y)' equal to zero and attempt to solve:

Simplifying
5 + 6y = 0

Solving
5 + 6y = 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 + 6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6y = 0 + -5
6y = 0 + -5

Combine like terms: 0 + -5 = -5
6y = -5

Divide each side by '6'.
y = -0.8333333333

Simplifying
y = -0.8333333333
Solution
y = {-1, -0.8333333333}