Question

What is the solution to the rational equation x/x^2-9 + 1/x+3 + 1/4x-12​

Answer 1

x/x^2-9 + 1/x-3 = 1/4x-12

x/(x+3)(x-3)+1/(x-3)=1/4(x-3)

LCD: 4(x+3)(x-3)

4x+4(x+3)=(x+3)

4x+4x+12=x+3

7x=-9

x=-9/7