2x(2x + 3)
That would be -----------------------
2x^2 + 13x + 15
We should factor the denominator and then reduce the original fraction:
2x(2x + 3) 2x x
----------------------- = ------------- = ---------
(2x + 3)(2)(x+5) 2(x+5) x+5
This is true only for x not equal to -5, not equal to -3/2.