11y-6+30y^2=0

Solution for 11y-6+30y^2=0 equation:

Simplifying
11y + -6 + 30y2 = 0

Reorder the terms:
-6 + 11y + 30y2 = 0

Solving
-6 + 11y + 30y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -3y)(3 + -10y) = 0

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

Simplifying
-2 + -3y = 0

Solving
-2 + -3y = 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 + -3y = 0 + 2

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

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

Divide each side by '-3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Subproblem 2
Set the factor '(3 + -10y)' equal to zero and attempt to solve:

Simplifying
3 + -10y = 0

Solving
3 + -10y = 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 + -10y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10y = 0 + -3
-10y = 0 + -3

Combine like terms: 0 + -3 = -3
-10y = -3

Divide each side by '-10'.
y = 0.3

Simplifying
y = 0.3
Solution
y = {-0.6666666667, 0.3}