6b^2-3b+3=-3

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

Simplifying
6b2 + -3b + 3 = -3

Reorder the terms:
3 + -3b + 6b2 = -3

Solving
3 + -3b + 6b2 = -3

Solving for variable 'b'.

Reorder the terms:
3 + 3 + -3b + 6b2 = -3 + 3

Combine like terms: 3 + 3 = 6
6 + -3b + 6b2 = -3 + 3

Combine like terms: -3 + 3 = 0
6 + -3b + 6b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -1b + 2b2) = 0

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

Simplifying
2 + -1b + 2b2 = 0

Solving
2 + -1b + 2b2 = 0

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

Divide each side by '2'.
1 + -0.5b + b2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5b + -1 + b2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5b + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5b + b2 = 0 + -1
-0.5b + b2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5b + b2 = -1

The b term is -0.5b.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5b + 0.0625 + b2 = -1 + 0.0625

Reorder the terms:
0.0625 + -0.5b + b2 = -1 + 0.0625

Combine like terms: -1 + 0.0625 = -0.9375
0.0625 + -0.5b + b2 = -0.9375

Factor a perfect square on the left side:
(b + -0.25)(b + -0.25) = -0.9375

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.