9*x^2(3*x+1)=

Solution for 9*x^2(3*x+1)= equation:

Simplifying
9x2(3x + 1) = 0

Reorder the terms:
9x2(1 + 3x) = 0
(1 * 9x2 + 3x * 9x2) = 0
(9x2 + 27x3) = 0

Solving
9x2 + 27x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x2'.
9x2(1 + 3x) = 0

Ignore the factor 9.
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 '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {0, -0.3333333333}