x^2-200x+6400=0

Solution for x^2-200x+6400=0 equation:

Simplifying
x2 + -200x + 6400 = 0

Reorder the terms:
6400 + -200x + x2 = 0

Solving
6400 + -200x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(40 + -1x)(160 + -1x) = 0

Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40
Subproblem 2
Set the factor '(160 + -1x)' equal to zero and attempt to solve:

Simplifying
160 + -1x = 0

Solving
160 + -1x = 0

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

Add '-160' to each side of the equation.
160 + -160 + -1x = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -1x = 0 + -160
-1x = 0 + -160

Combine like terms: 0 + -160 = -160
-1x = -160

Divide each side by '-1'.
x = 160

Simplifying
x = 160
Solution
x = {40, 160}