Question

Solve the following equation, identifying the domain restrictions, and checking your answers. Must show check for each solution

Answer 1

Answer: 4, 5

Step-by-step explanation:

The domain restrictions are $x \neq 1$ and $x \neq -3$ since those are the values of x for which the denominators equal 0.

To solve, we can start by cross multiplying:

$(x+3)(x+2)=7(2x-2)\\x^{2}+5x+6=14x-14\\x^{2}-9x+20=0\\(x-4)(x-5)=0\\x=4, 5$