0=x(600-2x)

Solution for 0=x(600-2x) equation:

Simplifying
0 = x(600 + -2x)
0 = (600 * x + -2x * x)
0 = (600x + -2x2)

Solving
0 = 600x + -2x2

Solving for variable 'x'.
Remove the zero:
-600x + 2x2 = 600x + -2x2 + -600x + 2x2

Reorder the terms:
-600x + 2x2 = 600x + -600x + -2x2 + 2x2

Combine like terms: 600x + -600x = 0
-600x + 2x2 = 0 + -2x2 + 2x2
-600x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-600x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-300 + x) = 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 '(-300 + x)' equal to zero and attempt to solve:

Simplifying
-300 + x = 0

Solving
-300 + x = 0

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

Add '300' to each side of the equation.
-300 + 300 + x = 0 + 300

Combine like terms: -300 + 300 = 0
0 + x = 0 + 300
x = 0 + 300

Combine like terms: 0 + 300 = 300
x = 300

Simplifying
x = 300
Solution
x = {0, 300}