3*X*X+9X=0

Solution for 3*X*X+9X=0 equation:

Simplifying
3X * X + 9X = 0

Multiply X * X
3X2 + 9X = 0

Reorder the terms:
9X + 3X2 = 0

Solving
9X + 3X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '3X'.
3X(3 + X) = 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 '(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}