4b^2=16b

Solution for 4b^2=16b equation:

Simplifying
4b2 = 16b

Solving
4b2 = 16b

Solving for variable 'b'.

Reorder the terms:
-16b + 4b2 = 16b + -16b

Combine like terms: 16b + -16b = 0
-16b + 4b2 = 0

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

Ignore the factor 4.
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}