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

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

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

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

Combine like terms: -4b + 2b = -2b
-4 + -2b = b(2b + -1)

Reorder the terms:
-4 + -2b = b(-1 + 2b)
-4 + -2b = (-1 * b + 2b * b)
-4 + -2b = (-1b + 2b2)

Solving
-4 + -2b = -1b + 2b2

Solving for variable 'b'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + b + 2b2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(4 + b + 2b2)' equal to zero and attempt to solve:

Simplifying
4 + b + 2b2 = 0

Solving
4 + b + 2b2 = 0

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

Divide each side by '2'.
2 + 0.5b + b2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.5b + -2 + b2 = 0 + -2

Reorder the terms:
2 + -2 + 0.5b + b2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.5b + b2 = 0 + -2
0.5b + b2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.5b + b2 = -2

The b term is b.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.5b + 0.25 + b2 = -2 + 0.25

Reorder the terms:
0.25 + 0.5b + b2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + 0.5b + b2 = -1.75

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.