2b^3-6b=

Solution for 2b^3-6b= equation:

Simplifying
2b3 + -6b = 0

Reorder the terms:
-6b + 2b3 = 0

Solving
-6b + 2b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-3 + b2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(-3 + b2)' equal to zero and attempt to solve:

Simplifying
-3 + b2 = 0

Solving
-3 + b2 = 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 + b2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + b2 = 0 + 3
b2 = 0 + 3

Combine like terms: 0 + 3 = 3
b2 = 3

Simplifying
b2 = 3

Take the square root of each side:
b = {-1.732050808, 1.732050808}
Solution
b = {0, -1.732050808, 1.732050808}