(6s-1)(s-1)=0

Solution for (6s-1)(s-1)=0 equation:

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

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

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

Multiply (-1 + 6s) * (-1 + s)
(-1(-1 + s) + 6s * (-1 + s)) = 0
((-1 * -1 + s * -1) + 6s * (-1 + s)) = 0
((1 + -1s) + 6s * (-1 + s)) = 0
(1 + -1s + (-1 * 6s + s * 6s)) = 0
(1 + -1s + (-6s + 6s2)) = 0

Combine like terms: -1s + -6s = -7s
(1 + -7s + 6s2) = 0

Solving
1 + -7s + 6s2 = 0

Solving for variable 's'.

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

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

Simplifying
1 + -1s = 0

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

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

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

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

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