13y^2-166y+381=0

Solution for 13y^2-166y+381=0 equation:

Simplifying
13y2 + -166y + 381 = 0

Reorder the terms:
381 + -166y + 13y2 = 0

Solving
381 + -166y + 13y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -1y)(127 + -13y) = 0

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

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Subproblem 2
Set the factor '(127 + -13y)' equal to zero and attempt to solve:

Simplifying
127 + -13y = 0

Solving
127 + -13y = 0

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

Add '-127' to each side of the equation.
127 + -127 + -13y = 0 + -127

Combine like terms: 127 + -127 = 0
0 + -13y = 0 + -127
-13y = 0 + -127

Combine like terms: 0 + -127 = -127
-13y = -127

Divide each side by '-13'.
y = 9.769230769

Simplifying
y = 9.769230769
Solution
y = {3, 9.769230769}