X^-2 - x^-1 - 6 = 0

solve each equation (hint: they are quadratic in form)

x-2-x-1-6=0

-6x2-x+1 x2 = 0

Step 1: Multiply both sides by x^2.

-6x2-x+1=0

(-3x+1) (2x+1) = 0 (Factor left side of equation)

-3x+1=0 or 2x+1=0 (Set factors equal to 0)

x = 1 3 or x = - 1 2

The answer is: x=1/3 or x=-1/2