solving rational equations (multiplication)

Question

x^2/x-2 * x^2+3x-10/x^2+2x

solve and find out what numbers x can't be? ANSWER NEEDED ASAP

Answer 1

 

   x^2        x^2 + 3x - 10

--------- * -------------------

   x-2           x^2 + 2x

 

 

x^2            ( x    +  5)(x    -     2 )
--------- * -------------------
x-2              x (x+ 2)

 

 

From here we see x cannot be zer0, 2, or -2

 

x-2 cancels out; x^2/x = x

 

x ( x+5)

--------------

  x + 2

   x^2        x^2 + 3x - 10

--------- * -------------------

   x-2           x^2 + 2x