X^2-36X+260=0

Solution for X^2-36X+260=0 equation:

Simplifying
X2 + -36X + 260 = 0

Reorder the terms:
260 + -36X + X2 = 0

Solving
260 + -36X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(10 + -1X)(26 + -1X) = 0

Subproblem 1
Set the factor '(10 + -1X)' equal to zero and attempt to solve:

Simplifying
10 + -1X = 0

Solving
10 + -1X = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1X = 0 + -10
-1X = 0 + -10

Combine like terms: 0 + -10 = -10
-1X = -10

Divide each side by '-1'.
X = 10

Simplifying
X = 10
Subproblem 2
Set the factor '(26 + -1X)' equal to zero and attempt to solve:

Simplifying
26 + -1X = 0

Solving
26 + -1X = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1X = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1X = 0 + -26
-1X = 0 + -26

Combine like terms: 0 + -26 = -26
-1X = -26

Divide each side by '-1'.
X = 26

Simplifying
X = 26
Solution
X = {10, 26}