x^2-533x+60102=0

Solution for x^2-533x+60102=0 equation:

Simplifying
x2 + -533x + 60102 = 0

Reorder the terms:
60102 + -533x + x2 = 0

Solving
60102 + -533x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(162 + -1x)(371 + -1x) = 0

Subproblem 1
Set the factor '(162 + -1x)' equal to zero and attempt to solve:

Simplifying
162 + -1x = 0

Solving
162 + -1x = 0

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

Add '-162' to each side of the equation.
162 + -162 + -1x = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -1x = 0 + -162
-1x = 0 + -162

Combine like terms: 0 + -162 = -162
-1x = -162

Divide each side by '-1'.
x = 162

Simplifying
x = 162
Subproblem 2
Set the factor '(371 + -1x)' equal to zero and attempt to solve:

Simplifying
371 + -1x = 0

Solving
371 + -1x = 0

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

Add '-371' to each side of the equation.
371 + -371 + -1x = 0 + -371

Combine like terms: 371 + -371 = 0
0 + -1x = 0 + -371
-1x = 0 + -371

Combine like terms: 0 + -371 = -371
-1x = -371

Divide each side by '-1'.
x = 371

Simplifying
x = 371
Solution
x = {162, 371}