30u=-2u^2

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

Simplifying
30u = -2u2

Solving
30u = -2u2

Solving for variable 'u'.

Combine like terms: -2u2 + 2u2 = 0
30u + 2u2 = 0

Factor out the Greatest Common Factor (GCF), '2u'.
2u(15 + 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 '(15 + u)' equal to zero and attempt to solve:

Simplifying
15 + u = 0

Solving
15 + u = 0

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

Add '-15' to each side of the equation.
15 + -15 + u = 0 + -15

Combine like terms: 15 + -15 = 0
0 + u = 0 + -15
u = 0 + -15

Combine like terms: 0 + -15 = -15
u = -15

Simplifying
u = -15
Solution
u = {0, -15}