(800-2x)x=

Solution for (800-2x)x= equation:

Simplifying
(800 + -2x) * x = 0

Reorder the terms for easier multiplication:
x(800 + -2x) = 0
(800 * x + -2x * x) = 0
(800x + -2x2) = 0

Solving
800x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(400 + -1x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(400 + -1x)' equal to zero and attempt to solve:

Simplifying
400 + -1x = 0

Solving
400 + -1x = 0

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

Add '-400' to each side of the equation.
400 + -400 + -1x = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -1x = 0 + -400
-1x = 0 + -400

Combine like terms: 0 + -400 = -400
-1x = -400

Divide each side by '-1'.
x = 400

Simplifying
x = 400
Solution
x = {0, 400}