0=1600x-x^2

Solution for 0=1600x-x^2 equation:

Simplifying
0 = 1600x + -1x2

Solving
0 = 1600x + -1x2

Solving for variable 'x'.
Remove the zero:
-1600x + x2 = 1600x + -1x2 + -1600x + x2

Reorder the terms:
-1600x + x2 = 1600x + -1600x + -1x2 + x2

Combine like terms: 1600x + -1600x = 0
-1600x + x2 = 0 + -1x2 + x2
-1600x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1600x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1600 + x) = 0

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 '(-1600 + x)' equal to zero and attempt to solve:

Simplifying
-1600 + x = 0

Solving
-1600 + x = 0

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

Add '1600' to each side of the equation.
-1600 + 1600 + x = 0 + 1600

Combine like terms: -1600 + 1600 = 0
0 + x = 0 + 1600
x = 0 + 1600

Combine like terms: 0 + 1600 = 1600
x = 1600

Simplifying
x = 1600
Solution
x = {0, 1600}