Как решить дробное уравнение?

5/(x-1)+30/(x+1)=5
(5/(x-1)+30/(x+1))*(x+1)=5*(x+1)
(5x+5)/(x-1)+30=5x+5
((5x+5)/(x-1)+30)*(x-1)=(5x+5)*(x-1)
5x+5+30x-30=5x^2-5x+5x-5
35x-25=5x^2-5
5x^2-35x-5+25=0
5x^2-35x+20=0
D=(-35)^2-4*5*20=825
x1=(√825-(-35))/(2*5)=6.372281323269....
x2=(-√825-(-35))/(2*5)=0.62771867673098567...


5/x-1+30/x+1=5
5/x+30/x=5+1-1
35/x=5
x=35/5
x=7