X^2-100X+1600=

Solution for X^2-100X+1600= equation:

Simplifying
X2 + -100X + 1600 = 0

Reorder the terms:
1600 + -100X + X2 = 0

Solving
1600 + -100X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(20 + -1X)(80 + -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 '(80 + -1X)' equal to zero and attempt to solve:

Simplifying
80 + -1X = 0

Solving
80 + -1X = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1X = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1X = 0 + -80
-1X = 0 + -80

Combine like terms: 0 + -80 = -80
-1X = -80

Divide each side by '-1'.
X = 80

Simplifying
X = 80
Solution
X = {20, 80}