SOLUTION: Could you please help me to work this problem? _x_ + _7_ x2+9x+14 x2+9x+14 This is supposed to be a fraction however I am new to this so I am unsure as to how to properly dr

Algebra ->  Inequalities -> SOLUTION: Could you please help me to work this problem? _x_ + _7_ x2+9x+14 x2+9x+14 This is supposed to be a fraction however I am new to this so I am unsure as to how to properly dr      Log On


   



Question 6565: Could you please help me to work this problem?
_x_ + _7_
x2+9x+14 x2+9x+14
This is supposed to be a fraction however I am new to this so I am unsure as to how to properly draw a line.
On another note I understand that I have to factor out the bottom fraction to get a LCD. I did that and got
LCD: (x+2)(x+7)
Problem is I do not know where to go from here. Please Help!!
Candi Boyer
kcboyer@verizon.net

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
click on "view source" link to see how to type in such fractions.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %28x%2B7%29%2F%28x%5E2%2B9x%2B14%29 simplifies to 1%2F%28x%2B2%29
  • Text form: (x+7)/(x^2+9x+14) simplifies to 1/(x+2)
  • Cartoon (animation) form: simplify_cartoon%28+%28x%2B7%29%2F%28x%5E2%2B9x%2B14%29+%29
    For tutors: simplify_cartoon( (x+7)/(x^2+9x+14) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+%28x%2B7%29+%29%2Fhighlight_red%28+%28x%5E2%2B9%2Ax%2B14%29+%29.
Canceled out common factors (x-(-7))

Look at highlight_red%28+%28highlight_red%28+1+%29%29%2F%28x%2B2%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes highlight_green%28+1+%29%2F%28x%2B2%29.
Result: 1%2F%28x%2B2%29

Universal Simplifier and Solver


Done!