-16b=-8b^2-8

Solution for -16b=-8b^2-8 equation:

Simplifying
-16b = -8b2 + -8

Reorder the terms:
-16b = -8 + -8b2

Solving
-16b = -8 + -8b2

Solving for variable 'b'.

Reorder the terms:
8 + -16b + 8b2 = -8 + -8b2 + 8 + 8b2

Reorder the terms:
8 + -16b + 8b2 = -8 + 8 + -8b2 + 8b2

Combine like terms: -8 + 8 = 0
8 + -16b + 8b2 = 0 + -8b2 + 8b2
8 + -16b + 8b2 = -8b2 + 8b2

Combine like terms: -8b2 + 8b2 = 0
8 + -16b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(1 + -2b + b2) = 0

Factor a trinomial.
8((1 + -1b)(1 + -1b)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

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

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

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

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

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

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

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

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

Simplifying
b = 1
Solution
b = {1, 1}