(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
