(5s+3)(2s-6)=0

Solution for (5s+3)(2s-6)=0 equation:

Simplifying
(5s + 3)(2s + -6) = 0

Reorder the terms:
(3 + 5s)(2s + -6) = 0

Reorder the terms:
(3 + 5s)(-6 + 2s) = 0

Multiply (3 + 5s) * (-6 + 2s)
(3(-6 + 2s) + 5s * (-6 + 2s)) = 0
((-6 * 3 + 2s * 3) + 5s * (-6 + 2s)) = 0
((-18 + 6s) + 5s * (-6 + 2s)) = 0
(-18 + 6s + (-6 * 5s + 2s * 5s)) = 0
(-18 + 6s + (-30s + 10s2)) = 0

Combine like terms: 6s + -30s = -24s
(-18 + -24s + 10s2) = 0

Solving
-18 + -24s + 10s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -12s + 5s2) = 0

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

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

Simplifying
3 + -1s = 0

Solving
3 + -1s = 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 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-0.6, 3}