X^2-X-1806=0

Solution for X^2-X-1806=0 equation:

Simplifying
X2 + -1X + -1806 = 0

Reorder the terms:
-1806 + -1X + X2 = 0

Solving
-1806 + -1X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-42 + -1X)(43 + -1X) = 0

Subproblem 1
Set the factor '(-42 + -1X)' equal to zero and attempt to solve:

Simplifying
-42 + -1X = 0

Solving
-42 + -1X = 0

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

Add '42' to each side of the equation.
-42 + 42 + -1X = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -1X = 0 + 42
-1X = 0 + 42

Combine like terms: 0 + 42 = 42
-1X = 42

Divide each side by '-1'.
X = -42

Simplifying
X = -42
Subproblem 2
Set the factor '(43 + -1X)' equal to zero and attempt to solve:

Simplifying
43 + -1X = 0

Solving
43 + -1X = 0

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

Add '-43' to each side of the equation.
43 + -43 + -1X = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -1X = 0 + -43
-1X = 0 + -43

Combine like terms: 0 + -43 = -43
-1X = -43

Divide each side by '-1'.
X = 43

Simplifying
X = 43
Solution
X = {-42, 43}