3/(s-13)=s/10

Solution for 3/(s-13)=s/10 equation:

D( s )

s-13 = 0

s-13 = 0

s-13 = 0

s-13 = 0 // + 13

s = 13

s in (-oo:13) U (13:+oo)

3/(s-13) = s/10 // - s/10

3/(s-13)-(s/10) = 0

3/(s-13)-s/10 = 0

(3*10)/(10*(s-13))+(-s*(s-13))/(10*(s-13)) = 0

3*10-s*(s-13) = 0

13*s-s^2+30 = 0

13*s-s^2+30 = 0

13*s-s^2+30 = 0

DELTA = 13^2-(-1*4*30)

DELTA = 289

DELTA > 0

s = (289^(1/2)-13)/(-1*2) or s = (-289^(1/2)-13)/(-1*2)

s = -2 or s = 15

(s+2)*(s-15) = 0

((s+2)*(s-15))/(10*(s-13)) = 0

((s+2)*(s-15))/(10*(s-13)) = 0 // * 10*(s-13)

(s+2)*(s-15) = 0

( s+2 )

s+2 = 0 // - 2

s = -2

( s-15 )

s-15 = 0 // + 15

s = 15

s in { -2, 15 }