2b^2=8b

Solution for 2b^2=8b equation:

Simplifying
2b2 = 8b

Solving
2b2 = 8b

Solving for variable 'b'.

Reorder the terms:
-8b + 2b2 = 8b + -8b

Combine like terms: 8b + -8b = 0
-8b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-4 + b) = 0

Ignore the factor 2.
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 '(-4 + b)' equal to zero and attempt to solve:

Simplifying
-4 + b = 0

Solving
-4 + b = 0

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

Add '4' to each side of the equation.
-4 + 4 + b = 0 + 4

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

Combine like terms: 0 + 4 = 4
b = 4

Simplifying
b = 4
Solution
b = {0, 4}