x^2-55x+204=0

Solution for x^2-55x+204=0 equation:

Simplifying
x2 + -55x + 204 = 0

Reorder the terms:
204 + -55x + x2 = 0

Solving
204 + -55x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(51 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(51 + -1x)' equal to zero and attempt to solve:

Simplifying
51 + -1x = 0

Solving
51 + -1x = 0

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

Add '-51' to each side of the equation.
51 + -51 + -1x = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -1x = 0 + -51
-1x = 0 + -51

Combine like terms: 0 + -51 = -51
-1x = -51

Divide each side by '-1'.
x = 51

Simplifying
x = 51
Solution
x = {4, 51}