(7s-1)(8s+3)=

Solution for (7s-1)(8s+3)= equation:

Simplifying
(7s + -1)(8s + 3) = 0

Reorder the terms:
(-1 + 7s)(8s + 3) = 0

Reorder the terms:
(-1 + 7s)(3 + 8s) = 0

Multiply (-1 + 7s) * (3 + 8s)
(-1(3 + 8s) + 7s * (3 + 8s)) = 0
((3 * -1 + 8s * -1) + 7s * (3 + 8s)) = 0
((-3 + -8s) + 7s * (3 + 8s)) = 0
(-3 + -8s + (3 * 7s + 8s * 7s)) = 0
(-3 + -8s + (21s + 56s2)) = 0

Combine like terms: -8s + 21s = 13s
(-3 + 13s + 56s2) = 0

Solving
-3 + 13s + 56s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-3 + -8s)(1 + -7s) = 0

Subproblem 1
Set the factor '(-3 + -8s)' equal to zero and attempt to solve:

Simplifying
-3 + -8s = 0

Solving
-3 + -8s = 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 + -8s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8s = 0 + 3
-8s = 0 + 3

Combine like terms: 0 + 3 = 3
-8s = 3

Divide each side by '-8'.
s = -0.375

Simplifying
s = -0.375
Subproblem 2
Set the factor '(1 + -7s)' equal to zero and attempt to solve:

Simplifying
1 + -7s = 0

Solving
1 + -7s = 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 + -7s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7s = 0 + -1
-7s = 0 + -1

Combine like terms: 0 + -1 = -1
-7s = -1

Divide each side by '-7'.
s = 0.1428571429

Simplifying
s = 0.1428571429
Solution
s = {-0.375, 0.1428571429}