7u(3u+1)=0

Solution for 7u(3u+1)=0 equation:

Simplifying
7u(3u + 1) = 0

Reorder the terms:
7u(1 + 3u) = 0
(1 * 7u + 3u * 7u) = 0
(7u + 21u2) = 0

Solving
7u + 21u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '7u'.
7u(1 + 3u) = 0

Ignore the factor 7.
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 '(1 + 3u)' equal to zero and attempt to solve:

Simplifying
1 + 3u = 0

Solving
1 + 3u = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3u = 0 + -1
3u = 0 + -1

Combine like terms: 0 + -1 = -1
3u = -1

Divide each side by '3'.
u = -0.3333333333

Simplifying
u = -0.3333333333
Solution
u = {0, -0.3333333333}