(5s-30)(30s-5)=0

Solution for (5s-30)(30s-5)=0 equation:

Simplifying
(5s + -30)(30s + -5) = 0

Reorder the terms:
(-30 + 5s)(30s + -5) = 0

Reorder the terms:
(-30 + 5s)(-5 + 30s) = 0

Multiply (-30 + 5s) * (-5 + 30s)
(-30(-5 + 30s) + 5s * (-5 + 30s)) = 0
((-5 * -30 + 30s * -30) + 5s * (-5 + 30s)) = 0
((150 + -900s) + 5s * (-5 + 30s)) = 0
(150 + -900s + (-5 * 5s + 30s * 5s)) = 0
(150 + -900s + (-25s + 150s2)) = 0

Combine like terms: -900s + -25s = -925s
(150 + -925s + 150s2) = 0

Solving
150 + -925s + 150s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '25'.
25(6 + -37s + 6s2) = 0

Factor a trinomial.
25((1 + -6s)(6 + -1s)) = 0

Ignore the factor 25.
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 '(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
Solution
s = {0.1666666667, 6}