X^2(-3+X)=0

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

Simplifying
X2(-3 + X) = 0
(-3 * X2 + X * X2) = 0
(-3X2 + X3) = 0

Solving
-3X2 + X3 = 0

Solving for variable 'X'.

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

Simplifying
X = 3
Solution
X = {0, 3}