The equation is Z^2-8+12/Z^2+Z-6

I got this far
(Z-6)(Z-2)/(Z+2)(Z-3)

It needs to be simplified further, as far as my understanding (Z-2) and (Z+2) cannot be cancelled out.

I'm assuming the original equation is: (Z^2 - 8Z + 12) / (Z^2 + Z -6)

So, that 8 is actually an 8Z, right?

If that is the case:

Refactor the denominator (bottomm), and you'll get the right answer.

oh whoops, yes that is the correct equation! Thanks figured out the answer!

solve the problem by writtting an equation should start with "1220="and use x as the only variable

To simplify the given expression, let's first factor the numerator and denominator:

Numerator: Z^2 - 8 = (Z - 4)(Z + 2)
Denominator: Z^2 + Z - 6 = (Z + 3)(Z - 2)

Now, let's rewrite the expression with the factored numerator and denominator:

[(Z - 4)(Z + 2)] / [(Z + 3)(Z - 2)]

Next, let's cancel out the common factors, if any:

[(Z - 4)(Z + 2)] / [(Z + 3)(Z - 2)] = (Z - 4) / (Z + 3)

Therefore, the simplified expression is (Z - 4) / (Z + 3).