u^2-20u=0

Solution for u^2-20u=0 equation:

Simplifying
u2 + -20u = 0

Reorder the terms:
-20u + u2 = 0

Solving
-20u + u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-20 + u) = 0

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(-20 + u)' equal to zero and attempt to solve:

Simplifying
-20 + u = 0

Solving
-20 + u = 0

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

Add '20' to each side of the equation.
-20 + 20 + u = 0 + 20

Combine like terms: -20 + 20 = 0
0 + u = 0 + 20
u = 0 + 20

Combine like terms: 0 + 20 = 20
u = 20

Simplifying
u = 20
Solution
u = {0, 20}