What is the simplified form of 3 over 2x minus 5 + 21 over 8 x squared minus 14x minus 15 ?

(3/(2x - 5) + 21 )/ (8x^2 - 14x - 15) If this is the original equation

Answer = 3((1/(2x-5))+7) / (4x + 3)(2x-5)

First factor out three from the top 3(1/2x-5 + 7)/ 8x^2 - 14x - 15
Then Factor the bottom.
8 * -15  = -120
then two numbers that add up to -14 but multiply -120
this is 6 and -20
rewrite the "-14x" as 6x-20x

3(1/2x-5 + 7)/ 8x^2 + 6x - 20x - 15

Factor out the common terms in the denominator
3(1/2x-5 + 7)/ 2x(4x+3) - 5(4x+3)

then combine
3((1/(2x-5)) + 7) / (4x+3)(2x-5)

If that is the equation/that is the simplified version that you want!
ps. the only things copied here was the numerator of the equation so I didn't have to type it again T^T

We’re gonna need a picture to refer to in order to figure it out. try reposting your question with the picture included.