20s^2+16s+25s+20=

Solution for 20s^2+16s+25s+20= equation:

Simplifying
20s2 + 16s + 25s + 20 = 0

Reorder the terms:
20 + 16s + 25s + 20s2 = 0

Combine like terms: 16s + 25s = 41s
20 + 41s + 20s2 = 0

Solving
20 + 41s + 20s2 = 0

Solving for variable 's'.

Factor a trinomial.
(5 + 4s)(4 + 5s) = 0

Subproblem 1
Set the factor '(5 + 4s)' equal to zero and attempt to solve:

Simplifying
5 + 4s = 0

Solving
5 + 4s = 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 + 4s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4s = 0 + -5
4s = 0 + -5

Combine like terms: 0 + -5 = -5
4s = -5

Divide each side by '4'.
s = -1.25

Simplifying
s = -1.25
Subproblem 2
Set the factor '(4 + 5s)' equal to zero and attempt to solve:

Simplifying
4 + 5s = 0

Solving
4 + 5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5s = 0 + -4
5s = 0 + -4

Combine like terms: 0 + -4 = -4
5s = -4

Divide each side by '5'.
s = -0.8

Simplifying
s = -0.8
Solution
s = {-1.25, -0.8}