3b^2+7b+3=5b-b^2

Solution for 3b^2+7b+3=5b-b^2 equation:

Simplifying
3b2 + 7b + 3 = 5b + -1b2

Reorder the terms:
3 + 7b + 3b2 = 5b + -1b2

Solving
3 + 7b + 3b2 = 5b + -1b2

Solving for variable 'b'.

Reorder the terms:
3 + 7b + -5b + 3b2 + b2 = 5b + -1b2 + -5b + b2

Combine like terms: 7b + -5b = 2b
3 + 2b + 3b2 + b2 = 5b + -1b2 + -5b + b2

Combine like terms: 3b2 + b2 = 4b2
3 + 2b + 4b2 = 5b + -1b2 + -5b + b2

Reorder the terms:
3 + 2b + 4b2 = 5b + -5b + -1b2 + b2

Combine like terms: 5b + -5b = 0
3 + 2b + 4b2 = 0 + -1b2 + b2
3 + 2b + 4b2 = -1b2 + b2

Combine like terms: -1b2 + b2 = 0
3 + 2b + 4b2 = 0

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

Divide each side by '4'.
0.75 + 0.5b + b2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.5b + -0.75 + b2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.5b + b2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.5b + b2 = 0 + -0.75
0.5b + b2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.5b + b2 = -0.75

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 = -0.75 + 0.0625

Reorder the terms:
0.0625 + 0.5b + b2 = -0.75 + 0.0625

Combine like terms: -0.75 + 0.0625 = -0.6875
0.0625 + 0.5b + b2 = -0.6875

Factor a perfect square on the left side:
(b + 0.25)(b + 0.25) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.