5b^2+7b+6=0

Solution for 5b^2+7b+6=0 equation:

Simplifying
5b2 + 7b + 6 = 0

Reorder the terms:
6 + 7b + 5b2 = 0

Solving
6 + 7b + 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 + 1.4b + b2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.4b + -1.2 + b2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.4b + b2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.4b + b2 = 0 + -1.2
1.4b + b2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.4b + b2 = -1.2

The b term is 1.4b.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4b + 0.49 + b2 = -1.2 + 0.49

Reorder the terms:
0.49 + 1.4b + b2 = -1.2 + 0.49

Combine like terms: -1.2 + 0.49 = -0.71
0.49 + 1.4b + b2 = -0.71

Factor a perfect square on the left side:
(b + 0.7)(b + 0.7) = -0.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.