(7/m-3)-(5/m)-(2m+6/m^2-9)

Solution for (7/m-3)-(5/m)-(2m+6/m^2-9) equation:

D( m )

m^2 = 0

m = 0

m^2 = 0

m^2 = 0

1*m^2 = 0 // : 1

m^2 = 0

m = 0

m = 0

m = 0

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

7/m-(2*m)-(5/m)-(6/(m^2))-3+9 = 0

7/m-2*m-5*m^-1-6*m^-2-3+9 = 0

2*m^-1-2*m^1-6*m^-2+6*m^0 = 0

(6*m^2-2*m^3+2*m^1-6*m^0)/(m^2) = 0 // * m^4

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

m^2

6*m^2-2*m^3+2*m-6 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6 }

1

m = 1

6*m^2-2*m^3+2*m-6 = 0

1

m-1

4*m-2*m^2+6

6*m^2-2*m^3+2*m-6

m-1

2*m^3-2*m^2

4*m^2+2*m-6

4*m-4*m^2

6*m-6

6-6*m

0

4*m-2*m^2+6 = 0

DELTA = 4^2-(-2*4*6)

DELTA = 64

DELTA > 0

m = (64^(1/2)-4)/(-2*2) or m = (-64^(1/2)-4)/(-2*2)

m = -1 or m = 3

m in { -1, 3, 1} 

m in { -1, 3, 1 }