6s^2+7s+1=

Solution for 6s^2+7s+1= equation:

Simplifying
6s2 + 7s + 1 = 0

Reorder the terms:
1 + 7s + 6s2 = 0

Solving
1 + 7s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + s)(1 + 6s) = 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 + 6s)' equal to zero and attempt to solve:

Simplifying
1 + 6s = 0

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

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

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

Divide each side by '6'.
s = -0.1666666667

Simplifying
s = -0.1666666667
Solution
s = {-1, -0.1666666667}