(5u-3)(5u)=0

Solution for (5u-3)(5u)=0 equation:

Simplifying
(5u + -3)(5u) = 0

Reorder the terms:
(-3 + 5u)(5u) = 0

Remove parenthesis around (5u)
(-3 + 5u) * 5u = 0

Reorder the terms for easier multiplication:
5u(-3 + 5u) = 0
(-3 * 5u + 5u * 5u) = 0
(-15u + 25u2) = 0

Solving
-15u + 25u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(-3 + 5u) = 0

Ignore the factor 5.
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 '(-3 + 5u)' equal to zero and attempt to solve:

Simplifying
-3 + 5u = 0

Solving
-3 + 5u = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5u = 0 + 3
5u = 0 + 3

Combine like terms: 0 + 3 = 3
5u = 3

Divide each side by '5'.
u = 0.6

Simplifying
u = 0.6
Solution
u = {0, 0.6}