u(8u-3)=0

Solution for u(8u-3)=0 equation:

Simplifying
u(8u + -3) = 0

Reorder the terms:
u(-3 + 8u) = 0
(-3 * u + 8u * u) = 0
(-3u + 8u2) = 0

Solving
-3u + 8u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-3 + 8u) = 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 + 8u)' equal to zero and attempt to solve:

Simplifying
-3 + 8u = 0

Solving
-3 + 8u = 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 + 8u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8u = 0 + 3
8u = 0 + 3

Combine like terms: 0 + 3 = 3
8u = 3

Divide each side by '8'.
u = 0.375

Simplifying
u = 0.375
Solution
u = {0, 0.375}