((2n^2+5n)/(12n^4-21n^3))((6n)/(12n+30))

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Solution for ((2n^2+5n)/(12n^4-21n^3))((6n)/(12n+30)) equation:


D( n )

12*n+30 = 0

12*n^4-(21*n^3) = 0

12*n+30 = 0

12*n+30 = 0

12*n+30 = 0 // - 30

12*n = -30 // : 12

n = -30/12

n = -5/2

12*n^4-(21*n^3) = 0

12*n^4-(21*n^3) = 0

12*n^4-21*n^3 = 0

12*n^4-21*n^3 = 0

3*n^3*(4*n-7) = 0

4*n-7 = 0 // + 7

4*n = 7 // : 4

n = 7/4

3*n^3 = 0

3*n^3 = 0 // : 3

n^3 = 0

n = 0

n in (-oo:-5/2) U (-5/2:0) U (0:7/4) U (7/4:+oo)

((2*n^2+5*n)/(12*n^4-(21*n^3)))*((6*n)/(12*n+30)) = 0

((2*n^2+5*n)/(12*n^4-21*n^3))*((6*n)/(12*n+30)) = 0

(6*n*(2*n^2+5*n))/((12*n^4-21*n^3)*(12*n+30)) = 0

2*n^2+5*n = 0

n*(2*n+5) = 0

2*n+5 = 0 // - 5

2*n = -5 // : 2

n = -5/2

n*(n+5/2) = 0

12*n^4-21*n^3 = 0

3*n^3*(4*n-7) = 0

4*n-7 = 0 // + 7

4*n = 7 // : 4

n = 7/4

3*n^3*(n-7/4) = 0

(6*n*n*(n+5/2))/(3*n^3*(n-7/4)*(12*n+30)) = 0

( 6*n )

6*n = 0 // : 6

n = 0

( n+5/2 )

n+5/2 = 0 // - 5/2

n = -5/2

( n )

n = 0

n in { 0}

n in { -5/2}

n in { 0}

n belongs to the empty set

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