4(b+1)2b=3(2b-1)

Solution for 4(b+1)2b=3(2b-1) equation:

Simplifying
4(b + 1) * 2b = 3(2b + -1)

Reorder the terms:
4(1 + b) * 2b = 3(2b + -1)

Reorder the terms for easier multiplication:
4 * 2b(1 + b) = 3(2b + -1)

Multiply 4 * 2
8b(1 + b) = 3(2b + -1)
(1 * 8b + b * 8b) = 3(2b + -1)
(8b + 8b2) = 3(2b + -1)

Reorder the terms:
8b + 8b2 = 3(-1 + 2b)
8b + 8b2 = (-1 * 3 + 2b * 3)
8b + 8b2 = (-3 + 6b)

Solving
8b + 8b2 = -3 + 6b

Solving for variable 'b'.

Reorder the terms:
3 + 8b + -6b + 8b2 = -3 + 6b + 3 + -6b

Combine like terms: 8b + -6b = 2b
3 + 2b + 8b2 = -3 + 6b + 3 + -6b

Reorder the terms:
3 + 2b + 8b2 = -3 + 3 + 6b + -6b

Combine like terms: -3 + 3 = 0
3 + 2b + 8b2 = 0 + 6b + -6b
3 + 2b + 8b2 = 6b + -6b

Combine like terms: 6b + -6b = 0
3 + 2b + 8b2 = 0

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

Divide each side by '8'.
0.375 + 0.25b + b2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 0.25b + -0.375 + b2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 0.25b + b2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 0.25b + b2 = 0 + -0.375
0.25b + b2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
0.25b + b2 = -0.375

The b term is 0.25b.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25b + 0.015625 + b2 = -0.375 + 0.015625

Reorder the terms:
0.015625 + 0.25b + b2 = -0.375 + 0.015625

Combine like terms: -0.375 + 0.015625 = -0.359375
0.015625 + 0.25b + b2 = -0.359375

Factor a perfect square on the left side:
(b + 0.125)(b + 0.125) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.