9Q(3Q-1)(3Q+1)=

Solution for 9Q(3Q-1)(3Q+1)= equation:

Simplifying
9Q(3Q + -1)(3Q + 1) = 0

Reorder the terms:
9Q(-1 + 3Q)(3Q + 1) = 0

Reorder the terms:
9Q(-1 + 3Q)(1 + 3Q) = 0

Multiply (-1 + 3Q) * (1 + 3Q)
9Q(-1(1 + 3Q) + 3Q * (1 + 3Q)) = 0
9Q((1 * -1 + 3Q * -1) + 3Q * (1 + 3Q)) = 0
9Q((-1 + -3Q) + 3Q * (1 + 3Q)) = 0
9Q(-1 + -3Q + (1 * 3Q + 3Q * 3Q)) = 0
9Q(-1 + -3Q + (3Q + 9Q2)) = 0

Combine like terms: -3Q + 3Q = 0
9Q(-1 + 0 + 9Q2) = 0
9Q(-1 + 9Q2) = 0
(-1 * 9Q + 9Q2 * 9Q) = 0
(-9Q + 81Q3) = 0

Solving
-9Q + 81Q3 = 0

Solving for variable 'Q'.

Factor out the Greatest Common Factor (GCF), '9Q'.
9Q(-1 + 9Q2) = 0

Factor a difference between two squares.
9Q((1 + 3Q)(-1 + 3Q)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'Q' equal to zero and attempt to solve:

Simplifying
Q = 0

Solving
Q = 0

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

Simplifying
Q = 0
Subproblem 2
Set the factor '(1 + 3Q)' equal to zero and attempt to solve:

Simplifying
1 + 3Q = 0

Solving
1 + 3Q = 0

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

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

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

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

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

Simplifying
Q = -0.3333333333
Subproblem 3
Set the factor '(-1 + 3Q)' equal to zero and attempt to solve:

Simplifying
-1 + 3Q = 0

Solving
-1 + 3Q = 0

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

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

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

Combine like terms: 0 + 1 = 1
3Q = 1

Divide each side by '3'.
Q = 0.3333333333

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