3u^2=-13u-4u

Solution for 3u^2=-13u-4u equation:

Simplifying
3u2 = -13u + -4u

Combine like terms: -13u + -4u = -17u
3u2 = -17u

Solving
3u2 = -17u

Solving for variable 'u'.

Reorder the terms:
17u + 3u2 = -17u + 17u

Combine like terms: -17u + 17u = 0
17u + 3u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(17 + 3u) = 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 '(17 + 3u)' equal to zero and attempt to solve:

Simplifying
17 + 3u = 0

Solving
17 + 3u = 0

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

Add '-17' to each side of the equation.
17 + -17 + 3u = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 3u = 0 + -17
3u = 0 + -17

Combine like terms: 0 + -17 = -17
3u = -17

Divide each side by '3'.
u = -5.666666667

Simplifying
u = -5.666666667
Solution
u = {0, -5.666666667}