x^2-60x+324=0

Solution for x^2-60x+324=0 equation:

Simplifying
x2 + -60x + 324 = 0

Reorder the terms:
324 + -60x + x2 = 0

Solving
324 + -60x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(54 + -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 '(54 + -1x)' equal to zero and attempt to solve:

Simplifying
54 + -1x = 0

Solving
54 + -1x = 0

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

Add '-54' to each side of the equation.
54 + -54 + -1x = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -1x = 0 + -54
-1x = 0 + -54

Combine like terms: 0 + -54 = -54
-1x = -54

Divide each side by '-1'.
x = 54

Simplifying
x = 54
Solution
x = {6, 54}