-6=-20s^2-7s

Solution for -6=-20s^2-7s equation:

Simplifying
-6 = -20s2 + -7s

Reorder the terms:
-6 = -7s + -20s2

Solving
-6 = -7s + -20s2

Solving for variable 's'.

Reorder the terms:
-6 + 7s + 20s2 = -7s + 7s + -20s2 + 20s2

Combine like terms: -7s + 7s = 0
-6 + 7s + 20s2 = 0 + -20s2 + 20s2
-6 + 7s + 20s2 = -20s2 + 20s2

Combine like terms: -20s2 + 20s2 = 0
-6 + 7s + 20s2 = 0

Factor a trinomial.
(-3 + -4s)(2 + -5s) = 0

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

Simplifying
-3 + -4s = 0

Solving
-3 + -4s = 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 + -4s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4s = 0 + 3
-4s = 0 + 3

Combine like terms: 0 + 3 = 3
-4s = 3

Divide each side by '-4'.
s = -0.75

Simplifying
s = -0.75
Subproblem 2
Set the factor '(2 + -5s)' equal to zero and attempt to solve:

Simplifying
2 + -5s = 0

Solving
2 + -5s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5s = 0 + -2
-5s = 0 + -2

Combine like terms: 0 + -2 = -2
-5s = -2

Divide each side by '-5'.
s = 0.4

Simplifying
s = 0.4
Solution
s = {-0.75, 0.4}