8b^2=-48b

Solution for 8b^2=-48b equation:

Simplifying
8b2 = -48b

Solving
8b2 = -48b

Solving for variable 'b'.

Reorder the terms:
48b + 8b2 = -48b + 48b

Combine like terms: -48b + 48b = 0
48b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '8b'.
8b(6 + 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 '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Solution
b = {0, -6}