3 over 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