SOLUTION: {{{ 1/x + (1)/(1 + x) = (-3)/(x^2 + x) }}}

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Question 308993:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
GreAt job using the formula system, I am impressed.

combine the two fractions on the left like regular fractions




x=-2
CHECK
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • Graphical form: Equation was fully solved.
  • Text form: 1/x+1/(1+x)=-3/(x^2+x) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 1/x+1/(1+x)=-3/(x^2+x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Replaced x with -2
It becomes .
Look at .
Replaced x with -2
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Replace constants in expression: highlight_red%28+1%2F-2+%29,highlight_red%28+1%2F%28-1%29+%29 with highlight_green%28+-1.5+%29
It becomes .
Look at .
Removed extra sign in front of -1.5
It becomes .
Look at .
Replaced x with -2
It becomes .
Look at .
Replace constants in factor: highlight_red%28+-2+%29,highlight_red%28+2+%29 with highlight_green%28+4+%29
It becomes .
Look at .
Replaced x with -2
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F2+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+3%2F2+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Factors 0 and 10 have greatest common factor (GCF) of 10. Reducing fraction.
It becomes .
Look at .
Since highlight_red%28+0%2F1+%29 has zero as a factor, it should be replaced with a zero
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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