8u^2+3u=0

Solution for 8u^2+3u=0 equation:

Simplifying
8u2 + 3u = 0

Reorder the terms:
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}