5s^2+33s=0

Solution for 5s^2+33s=0 equation:

Simplifying
5s2 + 33s = 0

Reorder the terms:
33s + 5s2 = 0

Solving
33s + 5s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(33 + 5s) = 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 '(33 + 5s)' equal to zero and attempt to solve:

Simplifying
33 + 5s = 0

Solving
33 + 5s = 0

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

Add '-33' to each side of the equation.
33 + -33 + 5s = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 5s = 0 + -33
5s = 0 + -33

Combine like terms: 0 + -33 = -33
5s = -33

Divide each side by '5'.
s = -6.6

Simplifying
s = -6.6
Solution
s = {0, -6.6}