(4x/(x-3)(x+3))/((4x-32)/(7x+21))

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Solution for (4x/(x-3)(x+3))/((4x-32)/(7x+21)) equation:


D( x )

x-3 = 0

7*x+21 = 0

(4*x-32)/(7*x+21) = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

7*x+21 = 0

7*x+21 = 0

7*x+21 = 0 // - 21

7*x = -21 // : 7

x = -21/7

x = -3

(4*x-32)/(7*x+21) = 0

(4*x-32)/(7*x+21) = 0

4*x-32 = 0 // + 32

4*x = 32 // : 4

x = 32/4

x = 8

x in (-oo:-3) U (-3:3) U (3:8) U (8:+oo)

(((4*x)/(x-3))*(x+3))/((4*x-32)/(7*x+21)) = 0

(4*x*(x+3)*(7*x+21))/((x-3)*(4*x-32)) = 0

( 4*x )

4*x = 0 // : 4

x = 0

( 7*x+21 )

7*x+21 = 0 // - 21

7*x = -21 // : 7

x = -21/7

x = -3

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -3}

x = 0

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