(4b^2-4b-4)-(-5b^2+3b+7)=

Solution for (4b^2-4b-4)-(-5b^2+3b+7)= equation:

Simplifying
(4b2 + -4b + -4) + -1(-5b2 + 3b + 7) = 0

Reorder the terms:
(-4 + -4b + 4b2) + -1(-5b2 + 3b + 7) = 0

Remove parenthesis around (-4 + -4b + 4b2)
-4 + -4b + 4b2 + -1(-5b2 + 3b + 7) = 0

Reorder the terms:
-4 + -4b + 4b2 + -1(7 + 3b + -5b2) = 0
-4 + -4b + 4b2 + (7 * -1 + 3b * -1 + -5b2 * -1) = 0
-4 + -4b + 4b2 + (-7 + -3b + 5b2) = 0

Reorder the terms:
-4 + -7 + -4b + -3b + 4b2 + 5b2 = 0

Combine like terms: -4 + -7 = -11
-11 + -4b + -3b + 4b2 + 5b2 = 0

Combine like terms: -4b + -3b = -7b
-11 + -7b + 4b2 + 5b2 = 0

Combine like terms: 4b2 + 5b2 = 9b2
-11 + -7b + 9b2 = 0

Solving
-11 + -7b + 9b2 = 0

Solving for variable 'b'.

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

Divide each side by '9'.
-1.222222222 + -0.7777777778b + b2 = 0

Move the constant term to the right:

Add '1.222222222' to each side of the equation.
-1.222222222 + -0.7777777778b + 1.222222222 + b2 = 0 + 1.222222222

Reorder the terms:
-1.222222222 + 1.222222222 + -0.7777777778b + b2 = 0 + 1.222222222

Combine like terms: -1.222222222 + 1.222222222 = 0.000000000
0.000000000 + -0.7777777778b + b2 = 0 + 1.222222222
-0.7777777778b + b2 = 0 + 1.222222222

Combine like terms: 0 + 1.222222222 = 1.222222222
-0.7777777778b + b2 = 1.222222222

The b term is -0.7777777778b.  Take half its coefficient (-0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
-0.7777777778b + 0.1512345679 + b2 = 1.222222222 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778b + b2 = 1.222222222 + 0.1512345679

Combine like terms: 1.222222222 + 0.1512345679 = 1.3734567899
0.1512345679 + -0.7777777778b + b2 = 1.3734567899

Factor a perfect square on the left side:
(b + -0.3888888889)(b + -0.3888888889) = 1.3734567899

Calculate the square root of the right side: 1.171945728

Break this problem into two subproblems by setting 
(b + -0.3888888889) equal to 1.171945728 and -1.171945728.

Subproblem 1
b + -0.3888888889 = 1.171945728

Simplifying
b + -0.3888888889 = 1.171945728

Reorder the terms:
-0.3888888889 + b = 1.171945728

Solving
-0.3888888889 + b = 1.171945728

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '0.3888888889' to each side of the equation.
-0.3888888889 + 0.3888888889 + b = 1.171945728 + 0.3888888889

Combine like terms: -0.3888888889 + 0.3888888889 = 0.0000000000
0.0000000000 + b = 1.171945728 + 0.3888888889
b = 1.171945728 + 0.3888888889

Combine like terms: 1.171945728 + 0.3888888889 = 1.5608346169
b = 1.5608346169

Simplifying
b = 1.5608346169

Subproblem 2
b + -0.3888888889 = -1.171945728

Simplifying
b + -0.3888888889 = -1.171945728

Reorder the terms:
-0.3888888889 + b = -1.171945728

Solving
-0.3888888889 + b = -1.171945728

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '0.3888888889' to each side of the equation.
-0.3888888889 + 0.3888888889 + b = -1.171945728 + 0.3888888889

Combine like terms: -0.3888888889 + 0.3888888889 = 0.0000000000
0.0000000000 + b = -1.171945728 + 0.3888888889
b = -1.171945728 + 0.3888888889

Combine like terms: -1.171945728 + 0.3888888889 = -0.7830568391
b = -0.7830568391

Simplifying
b = -0.7830568391

Solution
The solution to the problem is based on the solutions
from the subproblems.
b = {1.5608346169, -0.7830568391}