2u^2-3u=0

Solution for 2u^2-3u=0 equation:

Simplifying
2u2 + -3u = 0

Reorder the terms:
-3u + 2u2 = 0

Solving
-3u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-3 + 2u) = 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 '(-3 + 2u)' equal to zero and attempt to solve:

Simplifying
-3 + 2u = 0

Solving
-3 + 2u = 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 + 2u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2u = 0 + 3
2u = 0 + 3

Combine like terms: 0 + 3 = 3
2u = 3

Divide each side by '2'.
u = 1.5

Simplifying
u = 1.5
Solution
u = {0, 1.5}