7/x+12/x^2=-1

Solution for 7/x+12/x^2=-1 equation:

D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

7/x+12/(x^2) = -1 // + 1

7/x+12/(x^2)+1 = 0

7*x^-1+12*x^-2+1 = 0

t_1 = x^-1

12*t_1^2+7*t_1^1+1 = 0

12*t_1^2+7*t_1+1 = 0

DELTA = 7^2-(1*4*12)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)-7)/(2*12) or t_1 = (-1^(1/2)-7)/(2*12)

t_1 = -1/4 or t_1 = -1/3

t_1 = -1/3

x^-1+1/3 = 0

1*x^-1 = -1/3 // : 1

x^-1 = -1/3

-1 < 0

1/(x^1) = -1/3 // * x^1

1 = -1/3*x^1 // : -1/3

-3 = x^1

x = -3

t_1 = -1/4

x^-1+1/4 = 0

1*x^-1 = -1/4 // : 1

x^-1 = -1/4

-1 < 0

1/(x^1) = -1/4 // * x^1

1 = -1/4*x^1 // : -1/4

-4 = x^1

x = -4

x in { -3, -4 }