16/(z+8)=-z

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Solution for 16/(z+8)=-z equation:


D( z )

z+8 = 0

z+8 = 0

z+8 = 0

z+8 = 0 // - 8

z = -8

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

16/(z+8) = -z // + z

16/(z+8)+z = 0

16/(z+8)+(z*(z+8))/(z+8) = 0

z*(z+8)+16 = 0

z^2+8*z+16 = 0

z^2+8*z+16 = 0

z^2+8*z+16 = 0

DELTA = 8^2-(1*4*16)

DELTA = 0

z = -8/(1*2)

z = -4 or z = -4

(z+4)^2 = 0

((z+4)^2)/(z+8) = 0

((z+4)^2)/(z+8) = 0 // * z+8

(z+4)^2 = 0

z+4 = 0 // - 4

z = -4

z in { -4, -4 }

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