b^2-5b=0

Solution for b^2-5b=0 equation:

Simplifying
b2 + -5b = 0

Reorder the terms:
-5b + b2 = 0

Solving
-5b + b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-5 + b) = 0

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 '(-5 + b)' equal to zero and attempt to solve:

Simplifying
-5 + b = 0

Solving
-5 + b = 0

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

Add '5' to each side of the equation.
-5 + 5 + b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + b = 0 + 5
b = 0 + 5

Combine like terms: 0 + 5 = 5
b = 5

Simplifying
b = 5
Solution
b = {0, 5}