s^2+4s^2+8s-165=0

Solution for s^2+4s^2+8s-165=0 equation:

Simplifying
s2 + 4s2 + 8s + -165 = 0

Reorder the terms:
-165 + 8s + s2 + 4s2 = 0

Combine like terms: s2 + 4s2 = 5s2
-165 + 8s + 5s2 = 0

Solving
-165 + 8s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-33 + -5s)(5 + -1s) = 0

Subproblem 1
Set the factor '(-33 + -5s)' equal to zero and attempt to solve:

Simplifying
-33 + -5s = 0

Solving
-33 + -5s = 0

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

Add '33' to each side of the equation.
-33 + 33 + -5s = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -5s = 0 + 33
-5s = 0 + 33

Combine like terms: 0 + 33 = 33
-5s = 33

Divide each side by '-5'.
s = -6.6

Simplifying
s = -6.6
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

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

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

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-6.6, 5}