3over 3 x plus 1 over quantity x plus 4 equals 10 over 7x?

1.Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. 

(4/x) + [4/(x^2 - 9)] = 3/(x - 3) 

LCD: x(x + 3)(x - 3) 

4(x + 3)(x - 3) + 4x = 3(x)(x + 3) 

4(x^2 - 9) + 4x = 3x^2 + 9x 

4x^2 - 36 + 4x = 3x^2 + 9x 
x^2 - 5x - 36 = 0 
(x - 9)(x + 4) = 0 
x = 9 or x = - 4