(5s-3)(6s+5)=0

Solution for (5s-3)(6s+5)=0 equation:

Simplifying
(5s + -3)(6s + 5) = 0

Reorder the terms:
(-3 + 5s)(6s + 5) = 0

Reorder the terms:
(-3 + 5s)(5 + 6s) = 0

Multiply (-3 + 5s) * (5 + 6s)
(-3(5 + 6s) + 5s * (5 + 6s)) = 0
((5 * -3 + 6s * -3) + 5s * (5 + 6s)) = 0
((-15 + -18s) + 5s * (5 + 6s)) = 0
(-15 + -18s + (5 * 5s + 6s * 5s)) = 0
(-15 + -18s + (25s + 30s2)) = 0

Combine like terms: -18s + 25s = 7s
(-15 + 7s + 30s2) = 0

Solving
-15 + 7s + 30s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-5 + -6s)(3 + -5s) = 0

Subproblem 1
Set the factor '(-5 + -6s)' equal to zero and attempt to solve:

Simplifying
-5 + -6s = 0

Solving
-5 + -6s = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6s = 0 + 5

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

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

Divide each side by '-6'.
s = -0.8333333333

Simplifying
s = -0.8333333333
Subproblem 2
Set the factor '(3 + -5s)' equal to zero and attempt to solve:

Simplifying
3 + -5s = 0

Solving
3 + -5s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5s = 0 + -3
-5s = 0 + -3

Combine like terms: 0 + -3 = -3
-5s = -3

Divide each side by '-5'.
s = 0.6

Simplifying
s = 0.6
Solution
s = {-0.8333333333, 0.6}