4s^2=-8s

Solution for 4s^2=-8s equation:

Simplifying
4s2 = -8s

Solving
4s2 = -8s

Solving for variable 's'.

Reorder the terms:
8s + 4s2 = -8s + 8s

Combine like terms: -8s + 8s = 0
8s + 4s2 = 0

Factor out the Greatest Common Factor (GCF), '4s'.
4s(2 + s) = 0

Ignore the factor 4.
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 '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

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

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

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

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

Simplifying
s = -2
Solution
s = {0, -2}