20u^2-49u=0

Solution for 20u^2-49u=0 equation:

Simplifying
20u2 + -49u = 0

Reorder the terms:
-49u + 20u2 = 0

Solving
-49u + 20u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-49 + 20u) = 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 '(-49 + 20u)' equal to zero and attempt to solve:

Simplifying
-49 + 20u = 0

Solving
-49 + 20u = 0

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

Add '49' to each side of the equation.
-49 + 49 + 20u = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 20u = 0 + 49
20u = 0 + 49

Combine like terms: 0 + 49 = 49
20u = 49

Divide each side by '20'.
u = 2.45

Simplifying
u = 2.45
Solution
u = {0, 2.45}