2s(5s+3)=0

Solution for 2s(5s+3)=0 equation:

Simplifying
2s(5s + 3) = 0

Reorder the terms:
2s(3 + 5s) = 0
(3 * 2s + 5s * 2s) = 0
(6s + 10s2) = 0

Solving
6s + 10s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2s'.
2s(3 + 5s) = 0

Ignore the factor 2.
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 '(3 + 5s)' equal to zero and attempt to solve:

Simplifying
3 + 5s = 0

Solving
3 + 5s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5s = 0 + -3
5s = 0 + -3

Combine like terms: 0 + -3 = -3
5s = -3

Divide each side by '5'.
s = -0.6

Simplifying
s = -0.6
Solution
s = {0, -0.6}