x^2-72x+512=0

Solution for x^2-72x+512=0 equation:

Simplifying
x2 + -72x + 512 = 0

Reorder the terms:
512 + -72x + x2 = 0

Solving
512 + -72x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -1x)(64 + -1x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(64 + -1x)' equal to zero and attempt to solve:

Simplifying
64 + -1x = 0

Solving
64 + -1x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x = 0 + -64
-1x = 0 + -64

Combine like terms: 0 + -64 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64
Solution
x = {8, 64}