(7s+5)+s(-8s-4)-(3s-6)=

Solution for (7s+5)+s(-8s-4)-(3s-6)= equation:

Simplifying
(7s + 5) + s(-8s + -4) + -1(3s + -6) = 0

Reorder the terms:
(5 + 7s) + s(-8s + -4) + -1(3s + -6) = 0

Remove parenthesis around (5 + 7s)
5 + 7s + s(-8s + -4) + -1(3s + -6) = 0

Reorder the terms:
5 + 7s + s(-4 + -8s) + -1(3s + -6) = 0
5 + 7s + (-4 * s + -8s * s) + -1(3s + -6) = 0
5 + 7s + (-4s + -8s2) + -1(3s + -6) = 0

Reorder the terms:
5 + 7s + -4s + -8s2 + -1(-6 + 3s) = 0
5 + 7s + -4s + -8s2 + (-6 * -1 + 3s * -1) = 0
5 + 7s + -4s + -8s2 + (6 + -3s) = 0

Reorder the terms:
5 + 6 + 7s + -4s + -3s + -8s2 = 0

Combine like terms: 5 + 6 = 11
11 + 7s + -4s + -3s + -8s2 = 0

Combine like terms: 7s + -4s = 3s
11 + 3s + -3s + -8s2 = 0

Combine like terms: 3s + -3s = 0
11 + 0 + -8s2 = 0
11 + -8s2 = 0

Solving
11 + -8s2 = 0

Solving for variable 's'.

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

Add '-11' to each side of the equation.
11 + -11 + -8s2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -8s2 = 0 + -11
-8s2 = 0 + -11

Combine like terms: 0 + -11 = -11
-8s2 = -11

Divide each side by '-8'.
s2 = 1.375

Simplifying
s2 = 1.375

Take the square root of each side:
s = {-1.17260394, 1.17260394}