s(4s+2)=0

Solution for s(4s+2)=0 equation:

Simplifying
s(4s + 2) = 0

Reorder the terms:
s(2 + 4s) = 0
(2 * s + 4s * s) = 0
(2s + 4s2) = 0

Solving
2s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2s'.
2s(1 + 2s) = 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 '(1 + 2s)' equal to zero and attempt to solve:

Simplifying
1 + 2s = 0

Solving
1 + 2s = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2s = 0 + -1
2s = 0 + -1

Combine like terms: 0 + -1 = -1
2s = -1

Divide each side by '2'.
s = -0.5

Simplifying
s = -0.5
Solution
s = {0, -0.5}