-3q^2(-2q^2+8)=

Solution for -3q^2(-2q^2+8)= equation:

Simplifying
-3q2(-2q2 + 8) = 0

Reorder the terms:
-3q2(8 + -2q2) = 0
(8 * -3q2 + -2q2 * -3q2) = 0
(-24q2 + 6q4) = 0

Solving
-24q2 + 6q4 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '6q2'.
6q2(-4 + q2) = 0

Factor a difference between two squares.
6q2((2 + q)(-2 + q)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'q2' equal to zero and attempt to solve:

Simplifying
q2 = 0

Solving
q2 = 0

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

Simplifying
q2 = 0

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

Simplifying
2 + q = 0

Solving
2 + q = 0

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

Add '-2' to each side of the equation.
2 + -2 + q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + q = 0 + -2
q = 0 + -2

Combine like terms: 0 + -2 = -2
q = -2

Simplifying
q = -2
Subproblem 3
Set the factor '(-2 + q)' equal to zero and attempt to solve:

Simplifying
-2 + q = 0

Solving
-2 + q = 0

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

Add '2' to each side of the equation.
-2 + 2 + q = 0 + 2

Combine like terms: -2 + 2 = 0
0 + q = 0 + 2
q = 0 + 2

Combine like terms: 0 + 2 = 2
q = 2

Simplifying
q = 2
Solution
q = {0, -2, 2}