Let's first simplify the left side of the equation by combining like terms:
1/х(х+6) - 1/х^2 + 2х3 + 9 = 1/х^2 + 6/х - 1/х^2 + 6 + 9= 6/х + 15
Now the equation becomes:
6/х + 15 = -9/20
Next, let's isolate the fraction with x by moving the constant to the other side:
6/х = -9/20 - 156/х = -9/20 - 300/206/х = -309/20
Now, cross multiply to solve for x:
20(6) = -309х120 = -309х
Finally, solve for x:
x = -120/309
Therefore, the solution is x = -120/309.
Let's first simplify the left side of the equation by combining like terms:
1/х(х+6) - 1/х^2 + 2х3 + 9 = 1/х^2 + 6/х - 1/х^2 + 6 + 9
= 6/х + 15
Now the equation becomes:
6/х + 15 = -9/20
Next, let's isolate the fraction with x by moving the constant to the other side:
6/х = -9/20 - 15
6/х = -9/20 - 300/20
6/х = -309/20
Now, cross multiply to solve for x:
20(6) = -309х
120 = -309х
Finally, solve for x:
x = -120/309
Therefore, the solution is x = -120/309.