x^2-160x+2800=0

Solution for x^2-160x+2800=0 equation:

Simplifying
x2 + -160x + 2800 = 0

Reorder the terms:
2800 + -160x + x2 = 0

Solving
2800 + -160x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -1x)(140 + -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 '(140 + -1x)' equal to zero and attempt to solve:

Simplifying
140 + -1x = 0

Solving
140 + -1x = 0

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

Add '-140' to each side of the equation.
140 + -140 + -1x = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -1x = 0 + -140
-1x = 0 + -140

Combine like terms: 0 + -140 = -140
-1x = -140

Divide each side by '-1'.
x = 140

Simplifying
x = 140
Solution
x = {20, 140}