x^2-24x+181=73

Solution for x^2-24x+181=73 equation:

Simplifying
x2 + -24x + 181 = 73

Reorder the terms:
181 + -24x + x2 = 73

Solving
181 + -24x + x2 = 73

Solving for variable 'x'.

Reorder the terms:
181 + -73 + -24x + x2 = 73 + -73

Combine like terms: 181 + -73 = 108
108 + -24x + x2 = 73 + -73

Combine like terms: 73 + -73 = 0
108 + -24x + x2 = 0

Factor a trinomial.
(6 + -1x)(18 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {6, 18}