4u^2-10u=0

Solution for 4u^2-10u=0 equation:

Simplifying
4u2 + -10u = 0

Reorder the terms:
-10u + 4u2 = 0

Solving
-10u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(-5 + 2u) = 0

Ignore the factor 2.
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 '(-5 + 2u)' equal to zero and attempt to solve:

Simplifying
-5 + 2u = 0

Solving
-5 + 2u = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2u = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2u = 0 + 5
2u = 0 + 5

Combine like terms: 0 + 5 = 5
2u = 5

Divide each side by '2'.
u = 2.5

Simplifying
u = 2.5
Solution
u = {0, 2.5}