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

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

Simplifying
2b(3b2 + -4b + 6) = 0

Reorder the terms:
2b(6 + -4b + 3b2) = 0
(6 * 2b + -4b * 2b + 3b2 * 2b) = 0
(12b + -8b2 + 6b3) = 0

Solving
12b + -8b2 + 6b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(6 + -4b + 3b2) = 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 '(6 + -4b + 3b2)' equal to zero and attempt to solve:

Simplifying
6 + -4b + 3b2 = 0

Solving
6 + -4b + 3b2 = 0

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

Divide each side by '3'.
2 + -1.333333333b + b2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.333333333b + -2 + b2 = 0 + -2

Reorder the terms:
2 + -2 + -1.333333333b + b2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.333333333b + b2 = 0 + -2
-1.333333333b + b2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.333333333b + b2 = -2

The b term is -1.333333333b.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333b + 0.4444444442 + b2 = -2 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333b + b2 = -2 + 0.4444444442

Combine like terms: -2 + 0.4444444442 = -1.5555555558
0.4444444442 + -1.333333333b + b2 = -1.5555555558

Factor a perfect square on the left side:
(b + -0.6666666665)(b + -0.6666666665) = -1.5555555558

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}