5u^2=-8u

Solution for 5u^2=-8u equation:

Simplifying
5u2 = -8u

Solving
5u2 = -8u

Solving for variable 'u'.

Reorder the terms:
8u + 5u2 = -8u + 8u

Combine like terms: -8u + 8u = 0
8u + 5u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(8 + 5u) = 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 '(8 + 5u)' equal to zero and attempt to solve:

Simplifying
8 + 5u = 0

Solving
8 + 5u = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5u = 0 + -8
5u = 0 + -8

Combine like terms: 0 + -8 = -8
5u = -8

Divide each side by '5'.
u = -1.6

Simplifying
u = -1.6
Solution
u = {0, -1.6}