6s^2+35s-6=

Solution for 6s^2+35s-6= equation:

Simplifying
6s2 + 35s + -6 = 0

Reorder the terms:
-6 + 35s + 6s2 = 0

Solving
-6 + 35s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -1s)(1 + -6s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1s = 0 + 6

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

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

Divide each side by '-1'.
s = -6

Simplifying
s = -6
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 = {-6, 0.1666666667}