X^2-31X+240=0

Solution for X^2-31X+240=0 equation:

Simplifying
X2 + -31X + 240 = 0

Reorder the terms:
240 + -31X + X2 = 0

Solving
240 + -31X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(15 + -1X)(16 + -1X) = 0

Subproblem 1
Set the factor '(15 + -1X)' equal to zero and attempt to solve:

Simplifying
15 + -1X = 0

Solving
15 + -1X = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1X = 0 + -15
-1X = 0 + -15

Combine like terms: 0 + -15 = -15
-1X = -15

Divide each side by '-1'.
X = 15

Simplifying
X = 15
Subproblem 2
Set the factor '(16 + -1X)' equal to zero and attempt to solve:

Simplifying
16 + -1X = 0

Solving
16 + -1X = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1X = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1X = 0 + -16
-1X = 0 + -16

Combine like terms: 0 + -16 = -16
-1X = -16

Divide each side by '-1'.
X = 16

Simplifying
X = 16
Solution
X = {15, 16}