X(450-3X)=0

Solution for X(450-3X)=0 equation:

Simplifying
X(450 + -3X) = 0
(450 * X + -3X * X) = 0
(450X + -3X2) = 0

Solving
450X + -3X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '3X'.
3X(150 + -1X) = 0

Ignore the factor 3.
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 '(150 + -1X)' equal to zero and attempt to solve:

Simplifying
150 + -1X = 0

Solving
150 + -1X = 0

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

Add '-150' to each side of the equation.
150 + -150 + -1X = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -1X = 0 + -150
-1X = 0 + -150

Combine like terms: 0 + -150 = -150
-1X = -150

Divide each side by '-1'.
X = 150

Simplifying
X = 150
Solution
X = {0, 150}