(z^2+18z+81)/(z^2-64)*(z^2-8z/z+9)

Solution for (z^2+18z+81)/(z^2-64)*(z^2-8z/z+9) equation:

D( z )

z^2-64 = 0

z = 0

z^2-64 = 0

z^2-64 = 0

1*z^2 = 64 // : 1

z^2 = 64

z^2 = 64 // ^ 1/2

abs(z) = 8

z = 8 or z = -8

z = 0

z = 0

z in (-oo:-8) U (-8:0) U (0:8) U (8:+oo)

((z^2+18*z+81)/(z^2-64))*(z^2-((8*z)/z)+9) = 0

((z^2+18*z+81)/(z^2-64))*(z^2-8+9) = 0

((z^2+18*z+81)*(z^2+1))/(z^2-64) = 0

z^2+18*z+81 = 0

z^2+18*z+81 = 0

DELTA = 18^2-(1*4*81)

DELTA = 0

z = -18/(1*2)

z = -9 or z = -9

(z+9)^2 = 0

((z+9)^2*(z^2+1))/(z^2-64) = 0

( z+9 )

z+9 = 0 // - 9

z = -9

( z^2+1 )

1*z^2 = -1 // : 1

z^2 = -1

z in { -9, -9 }