x^2-200x+3600=0

Solution for x^2-200x+3600=0 equation:

Simplifying
x2 + -200x + 3600 = 0

Reorder the terms:
3600 + -200x + x2 = 0

Solving
3600 + -200x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -1x)(180 + -1x) = 0

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(180 + -1x)' equal to zero and attempt to solve:

Simplifying
180 + -1x = 0

Solving
180 + -1x = 0

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

Add '-180' to each side of the equation.
180 + -180 + -1x = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -1x = 0 + -180
-1x = 0 + -180

Combine like terms: 0 + -180 = -180
-1x = -180

Divide each side by '-1'.
x = 180

Simplifying
x = 180
Solution
x = {20, 180}