X^2-15X+26=0

Solution for X^2-15X+26=0 equation:

Simplifying
X2 + -15X + 26 = 0

Reorder the terms:
26 + -15X + X2 = 0

Solving
26 + -15X + X2 = 0

Solving for variable 'X'.

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

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

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

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

Simplifying
13 + -1X = 0

Solving
13 + -1X = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1X = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1X = 0 + -13
-1X = 0 + -13

Combine like terms: 0 + -13 = -13
-1X = -13

Divide each side by '-1'.
X = 13

Simplifying
X = 13
Solution
X = {2, 13}