6b+6b^2+5b^3=

Solution for 6b+6b^2+5b^3= equation:

Simplifying
6b + 6b2 + 5b3 = 0

Solving
6b + 6b2 + 5b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(6 + 6b + 5b2) = 0

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 + 6b + 5b2)' equal to zero and attempt to solve:

Simplifying
6 + 6b + 5b2 = 0

Solving
6 + 6b + 5b2 = 0

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

Divide each side by '5'.
1.2 + 1.2b + b2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.2b + -1.2 + b2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.2b + b2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.2b + b2 = 0 + -1.2
1.2b + b2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.2b + b2 = -1.2

The b term is 1.2b.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2b + 0.36 + b2 = -1.2 + 0.36

Reorder the terms:
0.36 + 1.2b + b2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + 1.2b + b2 = -0.84

Factor a perfect square on the left side:
(b + 0.6)(b + 0.6) = -0.84

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}