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

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.Com

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) (Show Source): You can put this solution on YOUR website!
solve for x
+ =
multiply by 2, results
+ = 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
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