1) The restraint that x ≠2 and x≠3/2 is the condition that prevents that to have a zero on the denominator. 0 on the denominator makes an undefinition.
2) So now, let's solve it:
Note that cross multiplying we get a quadratic equation. So let's solve it:
Note that the sum of two numbers that yield -8x is -5 and -3 as well as -5 x -3 yields 15 as their product. But to find the answers via this method, we need to switch signs, so the answer is:
A quadratic equation yields two roots. And that's the answer.