5b^2-6b+8=0

Solution for 5b^2-6b+8=0 equation:

Simplifying
5b2 + -6b + 8 = 0

Reorder the terms:
8 + -6b + 5b2 = 0

Solving
8 + -6b + 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'.
1.6 + -1.2b + b2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -1.2b + -1.6 + b2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -1.2b + b2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1.2b + b2 = 0 + -1.6
-1.2b + b2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-1.2b + b2 = -1.6

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 = -1.6 + 0.36

Reorder the terms:
0.36 + -1.2b + b2 = -1.6 + 0.36

Combine like terms: -1.6 + 0.36 = -1.24
0.36 + -1.2b + b2 = -1.24

Factor a perfect square on the left side:
(b + -0.6)(b + -0.6) = -1.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.