=2b^3-2b^2+2b

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

Simplifying
0 = 2b3 + -2b2 + 2b

Reorder the terms:
0 = 2b + -2b2 + 2b3

Solving
0 = 2b + -2b2 + 2b3

Solving for variable 'b'.
Remove the zero:
-2b + 2b2 + -2b3 = 2b + -2b2 + 2b3 + -2b + 2b2 + -2b3

Reorder the terms:
-2b + 2b2 + -2b3 = 2b + -2b + -2b2 + 2b2 + 2b3 + -2b3

Combine like terms: 2b + -2b = 0
-2b + 2b2 + -2b3 = 0 + -2b2 + 2b2 + 2b3 + -2b3
-2b + 2b2 + -2b3 = -2b2 + 2b2 + 2b3 + -2b3

Combine like terms: -2b2 + 2b2 = 0
-2b + 2b2 + -2b3 = 0 + 2b3 + -2b3
-2b + 2b2 + -2b3 = 2b3 + -2b3

Combine like terms: 2b3 + -2b3 = 0
-2b + 2b2 + -2b3 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-1 + b + -1b2) = 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 '(-1 + b + -1b2)' equal to zero and attempt to solve:

Simplifying
-1 + b + -1b2 = 0

Solving
-1 + b + -1b2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1 + -1b + b2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1b + -1 + b2 = 0 + -1

Reorder the terms:
1 + -1 + -1b + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1b + b2 = 0 + -1
-1b + b2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1b + b2 = -1

The b term is b.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1b + 0.25 + b2 = -1 + 0.25

Reorder the terms:
0.25 + -1b + b2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1b + b2 = -0.75

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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