x^2-180x+3200=0

Solution for x^2-180x+3200=0 equation:

Simplifying
x2 + -180x + 3200 = 0

Reorder the terms:
3200 + -180x + x2 = 0

Solving
3200 + -180x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -1x)(160 + -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 '(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 = {20, 160}