2b^3(b^2-4b+3)=

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

Simplifying
2b3(b2 + -4b + 3) = 0

Reorder the terms:
2b3(3 + -4b + b2) = 0
(3 * 2b3 + -4b * 2b3 + b2 * 2b3) = 0
(6b3 + -8b4 + 2b5) = 0

Solving
6b3 + -8b4 + 2b5 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b3'.
2b3(3 + -4b + b2) = 0

Factor a trinomial.
2b3((1 + -1b)(3 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'b3' equal to zero and attempt to solve:

Simplifying
b3 = 0

Solving
b3 = 0

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

Simplifying
b3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 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 + -1b = 0 + -1

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

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

Divide each side by '-1'.
b = 1

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

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

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

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

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

Simplifying
b = 3
Solution
b = {1, 3}