6b^2(9-3b^4)=

Solution for 6b^2(9-3b^4)= equation:

Simplifying
6b2(9 + -3b4) = 0
(9 * 6b2 + -3b4 * 6b2) = 0
(54b2 + -18b6) = 0

Solving
54b2 + -18b6 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '18b2'.
18b2(3 + -1b4) = 0

Ignore the factor 18.
Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}
Subproblem 2
Set the factor '(3 + -1b4)' equal to zero and attempt to solve:

Simplifying
3 + -1b4 = 0

Solving
3 + -1b4 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b4 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b4 = 0 + -3
-1b4 = 0 + -3

Combine like terms: 0 + -3 = -3
-1b4 = -3

Divide each side by '-1'.
b4 = 3

Simplifying
b4 = 3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}