SOLUTION: x + x + x = x

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Question 19222: x + x + x = x
Answer by Alwayscheerful(414) 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


  • This is an equation! Solutions: x=0.
  • Graphical form: x%2Bx%2Bx=x simplifies to 2=0
  • Text form: x+x+x=x simplifies to 2=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2Bx%2Bx=x+%29
    For tutors: simplify_cartoon( x+x+x=x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+x+%29%2Bhighlight_red%28+x+%29%2Bhighlight_red%28+x+%29=x.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%281%2B1%2B1%29%2Ax+%29
It becomes highlight_green%28+%281%2B1%2B1%29%2Ax+%29=x.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax=x.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax=x.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=x.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax=x.
Look at 3%2Ax=highlight_red%28+x+%29.
Moved these terms to the left highlight_green%28+-x+%29
It becomes 3%2Ax-highlight_green%28+x+%29=0.
Look at highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29=0.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%283-1%29%2Ax+%29
It becomes highlight_green%28+%283-1%29%2Ax+%29=0.
Look at %28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax=0.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax=0.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax=0.
Look at 2%2Ahighlight_red%28+x+%29=0.
Notes known roots (x-(0))
Look at highlight_red%28+2%2A%28highlight_red%28+1+%29%29+%29=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes 2%2Ahighlight_green%28+1+%29=0.
Look at highlight_red%28+2+%29%2Ahighlight_red%28+1+%29=0.
Multiplied numerator integers
It becomes highlight_green%28+2+%29=0.
Result: 2=0
This is an equation! Solutions: x=0.

Universal Simplifier and Solver


Done!

Hope this helps!