50s^2+20s+2=0

Solution for 50s^2+20s+2=0 equation:

Simplifying
50s2 + 20s + 2 = 0

Reorder the terms:
2 + 20s + 50s2 = 0

Solving
2 + 20s + 50s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 10s + 25s2) = 0

Factor a trinomial.
2((1 + 5s)(1 + 5s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + 5s)' equal to zero and attempt to solve:

Simplifying
1 + 5s = 0

Solving
1 + 5s = 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 + 5s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5s = 0 + -1
5s = 0 + -1

Combine like terms: 0 + -1 = -1
5s = -1

Divide each side by '5'.
s = -0.2

Simplifying
s = -0.2
Subproblem 2
Set the factor '(1 + 5s)' equal to zero and attempt to solve:

Simplifying
1 + 5s = 0

Solving
1 + 5s = 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 + 5s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5s = 0 + -1
5s = 0 + -1

Combine like terms: 0 + -1 = -1
5s = -1

Divide each side by '5'.
s = -0.2

Simplifying
s = -0.2
Solution
s = {-0.2, -0.2}