(5s-1)(6s+3)=

Solution for (5s-1)(6s+3)= equation:

Simplifying
(5s + -1)(6s + 3) = 0

Reorder the terms:
(-1 + 5s)(6s + 3) = 0

Reorder the terms:
(-1 + 5s)(3 + 6s) = 0

Multiply (-1 + 5s) * (3 + 6s)
(-1(3 + 6s) + 5s * (3 + 6s)) = 0
((3 * -1 + 6s * -1) + 5s * (3 + 6s)) = 0
((-3 + -6s) + 5s * (3 + 6s)) = 0
(-3 + -6s + (3 * 5s + 6s * 5s)) = 0
(-3 + -6s + (15s + 30s2)) = 0

Combine like terms: -6s + 15s = 9s
(-3 + 9s + 30s2) = 0

Solving
-3 + 9s + 30s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 3s + 10s2) = 0

Factor a trinomial.
3((-1 + -2s)(1 + -5s)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -2s)' equal to zero and attempt to solve:

Simplifying
-1 + -2s = 0

Solving
-1 + -2s = 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 + -2s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2s = 0 + 1
-2s = 0 + 1

Combine like terms: 0 + 1 = 1
-2s = 1

Divide each side by '-2'.
s = -0.5

Simplifying
s = -0.5
Subproblem 2
Set the factor '(1 + -5s)' equal to zero and attempt to solve:

Simplifying
1 + -5s = 0

Solving
1 + -5s = 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 + -5s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5s = 0 + -1
-5s = 0 + -1

Combine like terms: 0 + -1 = -1
-5s = -1

Divide each side by '-5'.
s = 0.2

Simplifying
s = 0.2
Solution
s = {-0.5, 0.2}