Identify the restrictions on the variable x^2+3x+2/x^2-4x-12

X^2 - 4x - 12 ≠ 0

Let's say it's equal to 0

Δ = b^2 - 4ac

(-4) ^2 - 4 (-12)

16 + 48

64

x1, x2 = - b ± √Δ / 2a

- (-4) ± √64 / 2

4 ± 8 / 2

x1 = 4+8/2, x2 = 4-8/2

x1 = 12/2 = 6, x2 = - 4/2 = - 2

So x can't be 6 or - 2!