2b(2b-3)=(b-5)

Solution for 2b(2b-3)=(b-5) equation:

Simplifying
2b(2b + -3) = (b + -5)

Reorder the terms:
2b(-3 + 2b) = (b + -5)
(-3 * 2b + 2b * 2b) = (b + -5)
(-6b + 4b2) = (b + -5)

Reorder the terms:
-6b + 4b2 = (-5 + b)

Remove parenthesis around (-5 + b)
-6b + 4b2 = -5 + b

Solving
-6b + 4b2 = -5 + b

Solving for variable 'b'.

Reorder the terms:
5 + -6b + -1b + 4b2 = -5 + b + 5 + -1b

Combine like terms: -6b + -1b = -7b
5 + -7b + 4b2 = -5 + b + 5 + -1b

Reorder the terms:
5 + -7b + 4b2 = -5 + 5 + b + -1b

Combine like terms: -5 + 5 = 0
5 + -7b + 4b2 = 0 + b + -1b
5 + -7b + 4b2 = b + -1b

Combine like terms: b + -1b = 0
5 + -7b + 4b2 = 0

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

Divide each side by '4'.
1.25 + -1.75b + b2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.75b + -1.25 + b2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.75b + b2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.75b + b2 = 0 + -1.25
-1.75b + b2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.75b + b2 = -1.25

The b term is -1.75b.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75b + 0.765625 + b2 = -1.25 + 0.765625

Reorder the terms:
0.765625 + -1.75b + b2 = -1.25 + 0.765625

Combine like terms: -1.25 + 0.765625 = -0.484375
0.765625 + -1.75b + b2 = -0.484375

Factor a perfect square on the left side:
(b + -0.875)(b + -0.875) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.