6b^2=-6+4b

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

Simplifying
6b2 = -6 + 4b

Solving
6b2 = -6 + 4b

Solving for variable 'b'.

Reorder the terms:
6 + -4b + 6b2 = -6 + 4b + 6 + -4b

Reorder the terms:
6 + -4b + 6b2 = -6 + 6 + 4b + -4b

Combine like terms: -6 + 6 = 0
6 + -4b + 6b2 = 0 + 4b + -4b
6 + -4b + 6b2 = 4b + -4b

Combine like terms: 4b + -4b = 0
6 + -4b + 6b2 = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -2b + 3b2)' equal to zero and attempt to solve:

Simplifying
3 + -2b + 3b2 = 0

Solving
3 + -2b + 3b2 = 0

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

Divide each side by '3'.
1 + -0.6666666667b + b2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6666666667b + -1 + b2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6666666667b + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6666666667b + b2 = 0 + -1
-0.6666666667b + b2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6666666667b + b2 = -1

The b term is -0.6666666667b.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667b + 0.1111111112 + b2 = -1 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667b + b2 = -1 + 0.1111111112

Combine like terms: -1 + 0.1111111112 = -0.8888888888
0.1111111112 + -0.6666666667b + b2 = -0.8888888888

Factor a perfect square on the left side:
(b + -0.3333333334)(b + -0.3333333334) = -0.8888888888

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.

The solution to this equation could not be determined.