11y^2+27y+10=0

Solution for 11y^2+27y+10=0 equation:

Simplifying
11y2 + 27y + 10 = 0

Reorder the terms:
10 + 27y + 11y2 = 0

Solving
10 + 27y + 11y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Subproblem 2
Set the factor '(5 + 11y)' equal to zero and attempt to solve:

Simplifying
5 + 11y = 0

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

Combine like terms: 5 + -5 = 0
0 + 11y = 0 + -5
11y = 0 + -5

Combine like terms: 0 + -5 = -5
11y = -5

Divide each side by '11'.
y = -0.4545454545

Simplifying
y = -0.4545454545
Solution
y = {-2, -0.4545454545}