0=-(5s^2+6s+1)

Solution for 0=-(5s^2+6s+1) equation:

Simplifying
0 = -1(5s2 + 6s + 1)

Reorder the terms:
0 = -1(1 + 6s + 5s2)
0 = (1 * -1 + 6s * -1 + 5s2 * -1)
0 = (-1 + -6s + -5s2)

Solving
0 = -1 + -6s + -5s2

Solving for variable 's'.

Combine like terms: 0 + 1 = 1
1 + 6s + 5s2 = -1 + -6s + -5s2 + 1 + 6s + 5s2

Reorder the terms:
1 + 6s + 5s2 = -1 + 1 + -6s + 6s + -5s2 + 5s2

Combine like terms: -1 + 1 = 0
1 + 6s + 5s2 = 0 + -6s + 6s + -5s2 + 5s2
1 + 6s + 5s2 = -6s + 6s + -5s2 + 5s2

Combine like terms: -6s + 6s = 0
1 + 6s + 5s2 = 0 + -5s2 + 5s2
1 + 6s + 5s2 = -5s2 + 5s2

Combine like terms: -5s2 + 5s2 = 0
1 + 6s + 5s2 = 0

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

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

Simplifying
1 + s = 0

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

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

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

Simplifying
s = -1
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 = {-1, -0.2}