6u^2=-30u

Solution for 6u^2=-30u equation:

Simplifying
6u2 = -30u

Solving
6u2 = -30u

Solving for variable 'u'.

Reorder the terms:
30u + 6u2 = -30u + 30u

Combine like terms: -30u + 30u = 0
30u + 6u2 = 0

Factor out the Greatest Common Factor (GCF), '6u'.
6u(5 + u) = 0

Ignore the factor 6.
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 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

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

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

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

Simplifying
u = -5
Solution
u = {0, -5}