5b^2-5b+6=0

Solution for 5b^2-5b+6=0 equation:

Simplifying
5b2 + -5b + 6 = 0

Reorder the terms:
6 + -5b + 5b2 = 0

Solving
6 + -5b + 5b2 = 0

Solving for variable 'b'.

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

Divide each side by '5'.
1.2 + -1b + b2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1b + -1.2 + b2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1b + b2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1b + b2 = 0 + -1.2
-1b + b2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1b + b2 = -1.2

The b term is -1b.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1b + 0.25 + b2 = -1.2 + 0.25

Reorder the terms:
0.25 + -1b + b2 = -1.2 + 0.25

Combine like terms: -1.2 + 0.25 = -0.95
0.25 + -1b + b2 = -0.95

Factor a perfect square on the left side:
(b + -0.5)(b + -0.5) = -0.95

Can't calculate square root of the right side.

The solution to this equation could not be determined.