8b-(b+4)b=4

Solution for 8b-(b+4)b=4 equation:

Simplifying
8b + -1(b + 4) * b = 4

Reorder the terms:
8b + -1(4 + b) * b = 4

Reorder the terms for easier multiplication:
8b + -1b(4 + b) = 4
8b + (4 * -1b + b * -1b) = 4
8b + (-4b + -1b2) = 4

Combine like terms: 8b + -4b = 4b
4b + -1b2 = 4

Solving
4b + -1b2 = 4

Solving for variable 'b'.

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

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

Factor a trinomial.
(-2 + b)(2 + -1b) = 0

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

Simplifying
-2 + b = 0

Solving
-2 + b = 0

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

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

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

Combine like terms: 0 + 2 = 2
b = 2

Simplifying
b = 2
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

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

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

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {2, 2}