3b^3-5b=-2b

Solution for 3b^3-5b=-2b equation:

Simplifying
3b3 + -5b = -2b

Reorder the terms:
-5b + 3b3 = -2b

Solving
-5b + 3b3 = -2b

Solving for variable 'b'.

Reorder the terms:
-5b + 2b + 3b3 = -2b + 2b

Combine like terms: -5b + 2b = -3b
-3b + 3b3 = -2b + 2b

Combine like terms: -2b + 2b = 0
-3b + 3b3 = 0

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

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

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

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

Combine like terms: 1 + -1 = 0
0 + b = 0 + -1
b = 0 + -1

Combine like terms: 0 + -1 = -1
b = -1

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

Simplifying
-1 + b = 0

Solving
-1 + b = 0

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

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

Combine like terms: -1 + 1 = 0
0 + b = 0 + 1
b = 0 + 1

Combine like terms: 0 + 1 = 1
b = 1

Simplifying
b = 1
Solution
b = {0, -1, 1}