3u^2=5u

Solution for 3u^2=5u equation:

Simplifying
3u2 = 5u

Solving
3u2 = 5u

Solving for variable 'u'.

Reorder the terms:
-5u + 3u2 = 5u + -5u

Combine like terms: 5u + -5u = 0
-5u + 3u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-5 + 3u) = 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 '(-5 + 3u)' equal to zero and attempt to solve:

Simplifying
-5 + 3u = 0

Solving
-5 + 3u = 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 + 3u = 0 + 5

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

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

Divide each side by '3'.
u = 1.666666667

Simplifying
u = 1.666666667
Solution
u = {0, 1.666666667}