SOLUTION: (x^2+2x-15)/(6-2x) can you help simplify. I got -x-5/2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: (x^2+2x-15)/(6-2x) can you help simplify. I got -x-5/2      Log On


   

Question 34352: (x^2+2x-15)/(6-2x) can you help simplify. I got -x-5/2
Found 2 solutions by ichudov, venugopalramana:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %28x%5E2%2B2x-15%29%2F%286-2x%29 simplifies to -x%2F2-5%2F2
  • Text form: (x^2+2x-15)/(6-2x) simplifies to -x/2-5/2
  • Cartoon (animation) form: simplify_cartoon%28+%28x%5E2%2B2x-15%29%2F%286-2x%29+%29
    For tutors: simplify_cartoon( (x^2+2x-15)/(6-2x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28x%5E2%2B2%2Ax-15%29%2F%28highlight_red%28+6+%29-2%2Ax%29.
Moved 6 to the right of expression
It becomes %28x%5E2%2B2%2Ax-15%29%2F%28-2%2Ax%2Bhighlight_green%28+6+%29%29.
Look at highlight_red%28+%28x%5E2%2B2%2Ax-15%29+%29%2Fhighlight_red%28+%28-2%2Ax%2B6%29+%29.
Canceled out common factors (x-(3))
Look at highlight_red%28+%28x%2B5%29%2F%28-highlight_red%28+2+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F2+%29
It becomes -%28x%2B5%29%2Fhighlight_green%28+2+%29.
Look at -highlight_red%28+%28x%2B5%29%2F2+%29.
Expanded term -1%2F2 by using associative property on %28x%2B5%29
It becomes -highlight_green%28+1%2F2%2Ax+%29-highlight_green%28+1%2F2%2A5+%29.
Look at -highlight_red%28+1+%29%2F2%2Ax-1%2F2%2A5.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -x%2F2-1%2F2%2A5.
Look at -x%2F2-highlight_red%28+1+%29%2F2%2Ahighlight_red%28+5+%29.
Multiplied numerator integers
It becomes -x%2F2-highlight_green%28+5+%29%2F2.
Result: -x%2F2-5%2F2

Universal Simplifier and Solver


Done!

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2+2x-15)/(6-2x)
=(X^2+5X-3X-15)/2(3-X)={X(X+5)-3(X+5)}/2(3-X)=(X+5)(X-3)/{(-2)(X-3)
=-(X+5)/2
can you help simplify. I got -x-5/2...CORRECT..BUT PUT BRACKETS AS OTHERWISE IT MIGHT BE READ AS -X -(5/2)..WHERE AS IT IS ACTUALLY -(X+5)/2...OR...(-X-5)/2