(7s+3)(4s-12)=0

Solution for (7s+3)(4s-12)=0 equation:

Simplifying
(7s + 3)(4s + -12) = 0

Reorder the terms:
(3 + 7s)(4s + -12) = 0

Reorder the terms:
(3 + 7s)(-12 + 4s) = 0

Multiply (3 + 7s) * (-12 + 4s)
(3(-12 + 4s) + 7s * (-12 + 4s)) = 0
((-12 * 3 + 4s * 3) + 7s * (-12 + 4s)) = 0
((-36 + 12s) + 7s * (-12 + 4s)) = 0
(-36 + 12s + (-12 * 7s + 4s * 7s)) = 0
(-36 + 12s + (-84s + 28s2)) = 0

Combine like terms: 12s + -84s = -72s
(-36 + -72s + 28s2) = 0

Solving
-36 + -72s + 28s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + -18s + 7s2) = 0

Factor a trinomial.
4((-3 + -7s)(3 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + -7s)' equal to zero and attempt to solve:

Simplifying
-3 + -7s = 0

Solving
-3 + -7s = 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 + -7s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7s = 0 + 3
-7s = 0 + 3

Combine like terms: 0 + 3 = 3
-7s = 3

Divide each side by '-7'.
s = -0.4285714286

Simplifying
s = -0.4285714286
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 = {-0.4285714286, 3}