SOLUTION: Hi. I finally made it to quadratic equations, and now fractions. Can you please help? solve for x 1/x+1/x+3=1/2 i am not sure how I made it to x^2-x-6 please help with the s

Algebra ->  Rational-functions -> SOLUTION: Hi. I finally made it to quadratic equations, and now fractions. Can you please help? solve for x 1/x+1/x+3=1/2 i am not sure how I made it to x^2-x-6 please help with the s      Log On


   

Question 473783: Hi. I finally made it to quadratic equations, and now fractions.
Can you please help?
solve for x
1/x+1/x+3=1/2
i am not sure how I made it to x^2-x-6 please help with the steps. Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x
1%2Fx + 1%2F%28x%2B3%29 = 1%2F2
multiply by 2, results
2%2Fx + 2%2F%28x%2B3%29 = 1
Multiply by x(x+3), results:
2(x+3) + 2x = x(x+3
2x + 6 + 2x = x^2 + 3x
4x + 6 = x^2 + 3x
0 = x^2 + 3x - 4x - 6
x^2 - x - 6 = 0