SOLUTION: Help me solve....please!!! X^2/x+1+2=1/x+1

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Question 34346: Help me solve....please!!!
X^2/x+1+2=1/x+1
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F%28x%2B1%29%2B2=1%2F%28x%2B1%29
multiply both sides by x+1.
x%5E2%2B2%28x%2B1%29+=+1
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-1,x=-1.
  • Graphical form: Equation x%5E2%2B2%2A%28x%2B1%29=1 was fully solved.
  • Text form: x^2+2*(x+1)=1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%5E2%2B2%2A%28x%2B1%29=1+%29
    For tutors: simplify_cartoon( x^2+2*(x+1)=1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%5E2%2B2%2A%28x%2B1%29=highlight_red%28+1+%29.
Moved these terms to the left highlight_green%28+-1+%29
It becomes x%5E2%2B2%2A%28x%2B1%29-highlight_green%28+1+%29=0.
Look at x%5E2%2Bhighlight_red%28+2%2A%28x%2B1%29+%29-1=0.
Expanded term 2 by using associative property on %28x%2B1%29
It becomes x%5E2%2Bhighlight_green%28+2%2Ax+%29%2Bhighlight_green%28+2%2A1+%29-1=0.
Look at x%5E2%2B2%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29-1=0.
Multiplied numerator integers
It becomes x%5E2%2B2%2Ax%2Bhighlight_green%28+2+%29-1=0.
Look at x%5E2%2B2%2Ax%2Bhighlight_red%28+2+%29-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes x%5E2%2B2%2Ax%2Bhighlight_green%28+1+%29=0.
Look at highlight_red%28+x%5E2%2B2%2Ax%2B1+%29=0.
Equation highlight_red%28+x%5E2%2B2%2Ax%2B1=0+%29 is a quadratic equation: x^2+2*x+1 =0, and has solutions -1,-1
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-1,x=-1.

Universal Simplifier and Solver


Done!