2u^2+68u=0

Solution for 2u^2+68u=0 equation:

Simplifying
2u2 + 68u = 0

Reorder the terms:
68u + 2u2 = 0

Solving
68u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(34 + u) = 0

Ignore the factor 2.
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 '(34 + u)' equal to zero and attempt to solve:

Simplifying
34 + u = 0

Solving
34 + u = 0

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

Add '-34' to each side of the equation.
34 + -34 + u = 0 + -34

Combine like terms: 34 + -34 = 0
0 + u = 0 + -34
u = 0 + -34

Combine like terms: 0 + -34 = -34
u = -34

Simplifying
u = -34
Solution
u = {0, -34}