8b^2=-16b

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

Simplifying
8b2 = -16b

Solving
8b2 = -16b

Solving for variable 'b'.

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

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

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

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

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
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
Solution
b = {0, -2}