x^2-163x+6552=0

Solution for x^2-163x+6552=0 equation:

Simplifying
x2 + -163x + 6552 = 0

Reorder the terms:
6552 + -163x + x2 = 0

Solving
6552 + -163x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(72 + -1x)(91 + -1x) = 0

Subproblem 1
Set the factor '(72 + -1x)' equal to zero and attempt to solve:

Simplifying
72 + -1x = 0

Solving
72 + -1x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -1x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = 0 + -72
-1x = 0 + -72

Combine like terms: 0 + -72 = -72
-1x = -72

Divide each side by '-1'.
x = 72

Simplifying
x = 72
Subproblem 2
Set the factor '(91 + -1x)' equal to zero and attempt to solve:

Simplifying
91 + -1x = 0

Solving
91 + -1x = 0

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

Add '-91' to each side of the equation.
91 + -91 + -1x = 0 + -91

Combine like terms: 91 + -91 = 0
0 + -1x = 0 + -91
-1x = 0 + -91

Combine like terms: 0 + -91 = -91
-1x = -91

Divide each side by '-1'.
x = 91

Simplifying
x = 91
Solution
x = {72, 91}