x^2-188x+1092=0

Solution for x^2-188x+1092=0 equation:

Simplifying
x2 + -188x + 1092 = 0

Reorder the terms:
1092 + -188x + x2 = 0

Solving
1092 + -188x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(182 + -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 '(182 + -1x)' equal to zero and attempt to solve:

Simplifying
182 + -1x = 0

Solving
182 + -1x = 0

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

Add '-182' to each side of the equation.
182 + -182 + -1x = 0 + -182

Combine like terms: 182 + -182 = 0
0 + -1x = 0 + -182
-1x = 0 + -182

Combine like terms: 0 + -182 = -182
-1x = -182

Divide each side by '-1'.
x = 182

Simplifying
x = 182
Solution
x = {6, 182}