2s^2=-5s

Solution for 2s^2=-5s equation:

Simplifying
2s2 = -5s

Solving
2s2 = -5s

Solving for variable 's'.

Reorder the terms:
5s + 2s2 = -5s + 5s

Combine like terms: -5s + 5s = 0
5s + 2s2 = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(5 + 2s) = 0

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(5 + 2s)' equal to zero and attempt to solve:

Simplifying
5 + 2s = 0

Solving
5 + 2s = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2s = 0 + -5
2s = 0 + -5

Combine like terms: 0 + -5 = -5
2s = -5

Divide each side by '2'.
s = -2.5

Simplifying
s = -2.5
Solution
s = {0, -2.5}