6u^2+5u=0

Solution for 6u^2+5u=0 equation:

Simplifying
6u2 + 5u = 0

Reorder the terms:
5u + 6u2 = 0

Solving
5u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(5 + 6u) = 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 + 6u)' equal to zero and attempt to solve:

Simplifying
5 + 6u = 0

Solving
5 + 6u = 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 + 6u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6u = 0 + -5
6u = 0 + -5

Combine like terms: 0 + -5 = -5
6u = -5

Divide each side by '6'.
u = -0.8333333333

Simplifying
u = -0.8333333333
Solution
u = {0, -0.8333333333}