6y^2+17y+11=0

Solution for 6y^2+17y+11=0 equation:

Simplifying
6y2 + 17y + 11 = 0

Reorder the terms:
11 + 17y + 6y2 = 0

Solving
11 + 17y + 6y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(11 + 6y)' equal to zero and attempt to solve:

Simplifying
11 + 6y = 0

Solving
11 + 6y = 0

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

Add '-11' to each side of the equation.
11 + -11 + 6y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6y = 0 + -11
6y = 0 + -11

Combine like terms: 0 + -11 = -11
6y = -11

Divide each side by '6'.
y = -1.833333333

Simplifying
y = -1.833333333
Subproblem 2
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
Solution
y = {-1.833333333, -1}