0=x^2(3-X)

Solution for 0=x^2(3-X) equation:

Simplifying
0 = x2(3 + -1X)
0 = (3 * x2 + -1X * x2)
0 = (3x2 + -1x2X)

Solving
0 = 3x2 + -1x2X

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
0 + -3x2 = 3x2 + -3x2 + -1x2X
Remove the zero:
-3x2 = 3x2 + -3x2 + -1x2X

Combine like terms: 3x2 + -3x2 = 0
-3x2 = 0 + -1x2X
-3x2 = -1x2X

Add 'x2X' to each side of the equation.
-3x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
-3x2 + x2X = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3 + X) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-3 + X)' equal to zero and attempt to solve:

Simplifying
-3 + X = 0

Solving
-3 + X = 0

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

Add '3' to each side of the equation.
-3 + 3 + X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + X = 0 + 3
X = 0 + 3

Combine like terms: 0 + 3 = 3
X = 3

Add '-1X' to each side of the equation.
X + -1X = 3 + -1X

Combine like terms: X + -1X = 0
0 = 3 + -1X

Simplifying
0 = 3 + -1X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}