7u^2+6u=0

Solution for 7u^2+6u=0 equation:

Simplifying
7u2 + 6u = 0

Reorder the terms:
6u + 7u2 = 0

Solving
6u + 7u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(6 + 7u) = 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 '(6 + 7u)' equal to zero and attempt to solve:

Simplifying
6 + 7u = 0

Solving
6 + 7u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 7u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7u = 0 + -6
7u = 0 + -6

Combine like terms: 0 + -6 = -6
7u = -6

Divide each side by '7'.
u = -0.8571428571

Simplifying
u = -0.8571428571
Solution
u = {0, -0.8571428571}