2k^2-15k+13=0

Solution for 2k^2-15k+13=0 equation:

Simplifying
2k2 + -15k + 13 = 0

Reorder the terms:
13 + -15k + 2k2 = 0

Solving
13 + -15k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -1k)(13 + -2k) = 0

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

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

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

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

Simplifying
k = 1
Subproblem 2
Set the factor '(13 + -2k)' equal to zero and attempt to solve:

Simplifying
13 + -2k = 0

Solving
13 + -2k = 0

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

Add '-13' to each side of the equation.
13 + -13 + -2k = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2k = 0 + -13
-2k = 0 + -13

Combine like terms: 0 + -13 = -13
-2k = -13

Divide each side by '-2'.
k = 6.5

Simplifying
k = 6.5
Solution
k = {1, 6.5}