((7z^2+7z)/(4z+8))*((z^2-4)/(z^3+2z^2+z))

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Solution for ((7z^2+7z)/(4z+8))*((z^2-4)/(z^3+2z^2+z)) equation: 


D( z )

z^3+2*z^2+z = 0

4*z+8 = 0

z^3+2*z^2+z = 0

z^3+2*z^2+z = 0

z^3+2*z^2+z = 0

z*(z^2+2*z+1) = 0

z^2+2*z+1 = 0

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

DELTA = 0

z = -2/(1*2)

z = -1 or z = -1

z = 0

z = 0

4*z+8 = 0

4*z+8 = 0

4*z+8 = 0 // - 8

4*z = -8 // : 4

z = -8/4

z = -2

z in (-oo:-2) U (-2:-1) U (-1:0) U (0:+oo)

((7*z^2+7*z)/(4*z+8))*((z^2-4)/(z^3+2*z^2+z)) = 0

((7*z^2+7*z)*(z^2-4))/((4*z+8)*(z^3+2*z^2+z)) = 0

7*z^2+7*z = 0

7*z*(z+1) = 0

z+1 = 0 // - 1

z = -1

7*z*(z+1) = 0

z^3+2*z^2+z = 0

z*(z^2+2*z+1) = 0

z^2+2*z+1 = 0

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

DELTA = 0

z = -2/(1*2)

z = -1 or z = -1

z*(z+1)^2 = 0

(7*z*(z+1)*(z^2-4))/(z*(4*z+8)*(z+1)^2) = 0

( 7*z )

7*z = 0 // : 7

z = 0

( z+1 )

z+1 = 0 // - 1

z = -1

( z^2-4 )

1*z^2 = 4 // : 1

z^2 = 4

z^2 = 4 // ^ 1/2

abs(z) = 2

z = 2 or z = -2

z in { 0} 

z in { -1} 

z in { -2} 

z = 2

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