Question 427453
3- [(a-6)/(a+5)]= (a^2-14)/a+5

***NOTE: I put the parentheses for easy to look*****

Multiply both sides by the LCD which is (a+ 5)

3(a+5) - (a -6) = a^2 -14

3a +15 - a + 6 = a^2 - 14

a^2 - 2a - 35 =0

(a -7)(a + 5) = 0

a-7 =0 or a + 5 = 0

a = 7 or a = -5

Since a = -5 makes the LCD to be zero, it is NOT a solution.
 so the only solution is 7.