1/(6n)=(n-3)/(3*n*n)-1/(6*n*n)

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Solution for 1/(6n)=(n-3)/(3*n*n)-1/(6*n*n) equation:


D( n )

6*n*n = 0

6*n = 0

3*n*n = 0

6*n*n = 0

6*n*n = 0

6*n^2 = 0 // : 6

n^2 = 0

n = 0

6*n = 0

6*n = 0

6*n = 0 // : 6

n = 0

3*n*n = 0

3*n*n = 0

3*n^2 = 0 // : 3

n^2 = 0

n = 0

n in (-oo:0) U (0:+oo)

1/(6*n) = (n-3)/(3*n*n)-(1/(6*n*n)) // - (n-3)/(3*n*n)-(1/(6*n*n))

1/(6*n)-((n-3)/(3*n*n))+1/(6*n*n) = 0

(-1/3)*n^-2*(n-3)+1/(6*n)+1/(6*n*n) = 0

1/(6*n)-1/3*n^-2*(n-3)+1/(6*n^2) = 0

(-1/3*6*6*n^-2*n*n^2*(n-3))/(6*6*n*n^2)+(1*6*n^2)/(6*6*n*n^2)+(1*6*n)/(6*6*n*n^2) = 0

1*6*n^2-1/3*6*6*n^-2*n*n^2*(n-3)+1*6*n = 0

36*n-6*n^2+6*n = 0

42*n-6*n^2 = 0

42*n-6*n^2 = 0

6*n*(7-n) = 0

7-n = 0 // - 7

-n = -7 // * -1

n = 7

6*n*(n-7) = 0

(6*n*(n-7))/(6*6*n*n^2) = 0

(6*n*(n-7))/(6*6*n*n^2) = 0 // * 6*6*n*n^2

6*n*(n-7) = 0

( 6*n )

6*n = 0 // : 6

n = 0

( n-7 )

n-7 = 0 // + 7

n = 7

n in { 0}

n = 7

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