Finding all real solutions of equations

[RHSLilSweetie07]

The directions are to find all real solutions of the equation.

x/(2x+7) - (x+1)/(x+3) = 1

I found the LCD and got

-x + 12x + 6 = 0.

Then I found that the discriminate is 168.

x = 6 - sqare root of 42

x - 6 + square root of 42

Are these right? I checked them, and they didn't work, so did i do something wrong? I know it's supposed to have at least two solutions, right? Please help me.

 

[stapel]

...I found the LCD and got -x + 12x + 6 = 0....

I don't get that. Please reply showing all of your steps.

Thank you.

Eliz.