13y^2-18y+5=0

Solution for 13y^2-18y+5=0 equation:

Simplifying
13y2 + -18y + 5 = 0

Reorder the terms:
5 + -18y + 13y2 = 0

Solving
5 + -18y + 13y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -13y)(1 + -1y) = 0

Subproblem 1
Set the factor '(5 + -13y)' equal to zero and attempt to solve:

Simplifying
5 + -13y = 0

Solving
5 + -13y = 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 + -13y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -13y = 0 + -5
-13y = 0 + -5

Combine like terms: 0 + -5 = -5
-13y = -5

Divide each side by '-13'.
y = 0.3846153846

Simplifying
y = 0.3846153846
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

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

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

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

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

Simplifying
y = 1
Solution
y = {0.3846153846, 1}