Question

SOLVE the equation

(3x-1)/(x+7) -(1)/(3x+2) = (5-x)/(3x^2+23x+14)

Answer 1

set (3x^2+23x+14)=(7+x) (2+3x)

Answer 2

why would I do that?
When I first saw the problem, I thought that I should clear fractions with a common LCD
The common LCD is (3x+2)(x+7)
so multiply everything by that.
then I got (3x-1)(3x+2)-(x+7)=(5-x)
when I foil and combine like terms, setting the entire thing equal to 0, I got:
(3x+5)(3x-2)=0
so x= 2/3 and -5/3

That is what I have...not sure if it is correct tho..