So given the problem 2(x+3)(x-2)/(x-2)≥0 How come we cant factor x-2 in the numerator against x-2 in the denominator? I mean theyre all just factors right? Does it have something to do about it being an inequality? We got this problem on a test yesterday, and the correct way to solve it was to leave it as i originally wrote it, and then put it on a number line. Why is it wrong to just factor and solve the inequality from there?