y(10y+11)=6

Solution for y(10y+11)=6 equation:

Simplifying
y(10y + 11) = 6

Reorder the terms:
y(11 + 10y) = 6
(11 * y + 10y * y) = 6
(11y + 10y2) = 6

Solving
11y + 10y2 = 6

Solving for variable 'y'.

Reorder the terms:
-6 + 11y + 10y2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 11y + 10y2 = 0

Factor a trinomial.
(-3 + -2y)(2 + -5y) = 0

Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve:

Simplifying
-3 + -2y = 0

Solving
-3 + -2y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 0 + 3
-2y = 0 + 3

Combine like terms: 0 + 3 = 3
-2y = 3

Divide each side by '-2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 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 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {-1.5, 0.4}