SOLUTION: 5/2t-t=3+3/2t

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Question 22766: 5/2t-t=3+3/2t
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


  • Graphical form: %285%2F2%29%2At-t=3%2B%283%2F2%29%2At simplifies to -3=0
  • Text form: (5/2)*t-t=3+(3/2)*t simplifies to -3=0
  • Cartoon (animation) form: simplify_cartoon%28+%285%2F2%29%2At-t=3%2B%283%2F2%29%2At+%29
    For tutors: simplify_cartoon( (5/2)*t-t=3+(3/2)*t )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+5%2F2+%29%29%2At+%29-t=3%2B%283%2F2%29%2At.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F2+%29
It becomes highlight_green%28+5+%29%2Fhighlight_green%28+2+%29%2At-t=3%2B%283%2F2%29%2At.
Look at highlight_red%28+5%2F2%2At+%29-highlight_red%28+t+%29=3%2B%283%2F2%29%2At.
Eliminated similar terms highlight_red%28+5%2F2%2At+%29,highlight_red%28+-t+%29 replacing them with highlight_green%28+%285%2A1%2F2-1%29%2At+%29
It becomes highlight_green%28+%285%2A1%2F2-1%29%2At+%29=3%2B%283%2F2%29%2At.
Look at %28highlight_red%28+5+%29%2Ahighlight_red%28+1+%29%2F2-1%29%2At=3%2B%283%2F2%29%2At.
Multiplied numerator integers
It becomes %28highlight_green%28+5+%29%2F2-1%29%2At=3%2B%283%2F2%29%2At.
Look at %28highlight_red%28+5%2F2+%29-highlight_red%28+1+%29%29%2At=3%2B%283%2F2%29%2At.
Added fractions or integers together
It becomes %28highlight_green%28+3%2F2+%29%29%2At=3%2B%283%2F2%29%2At.
Look at highlight_red%28+%28highlight_red%28+3%2F2+%29%29%2At+%29=3%2B%283%2F2%29%2At.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+1%2F2+%29
It becomes highlight_green%28+3+%29%2Fhighlight_green%28+2+%29%2At=3%2B%283%2F2%29%2At.
Look at 3%2F2%2At=3%2Bhighlight_red%28+%28highlight_red%28+3%2F2+%29%29%2At+%29.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+1%2F2+%29
It becomes 3%2F2%2At=3%2Bhighlight_green%28+3+%29%2Fhighlight_green%28+2+%29%2At.
Look at 3%2F2%2At=highlight_red%28+3+%29%2B3%2F2%2At.
Moved 3 to the right of expression
It becomes 3%2F2%2At=3%2F2%2At%2Bhighlight_green%28+3+%29.
Look at 3%2F2%2At=highlight_red%28+3%2F2%2At%2B3+%29.
Moved these terms to the left highlight_green%28+-3%2F2%2At+%29,highlight_green%28+-3+%29
It becomes 3%2F2%2At-highlight_green%28+3%2F2%2At+%29-highlight_green%28+3+%29=0.
Look at highlight_red%28+3%2F2%2At+%29-highlight_red%28+3%2F2%2At+%29-3=0.
Eliminated similar terms highlight_red%28+3%2F2%2At+%29,highlight_red%28+-3%2F2%2At+%29 replacing them with highlight_green%28+%283%2A1%2F2-3%2A1%2F2%29%2At+%29
It becomes highlight_green%28+%283%2A1%2F2-3%2A1%2F2%29%2At+%29-3=0.
Look at highlight_red%28+%283%2A1%2F2-3%2A1%2F2%29%2At+%29-3=0.
Since highlight_red%28+%283%2A1%2F2-3%2A1%2F2%29%2At+%29 has zero as a factor, it should be replaced with a zero
Look at 0-3=0.
Multiplied numerator integers
It becomes 0-3=0.
Look at 0-3=0.
Multiplied numerator integers
It becomes 0-3=0.
Look at 0-3=0.
Added fractions or integers together
It becomes 0-3=0.
Look at highlight_red%28+0+%29-3=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes -3=0.
Result: -3=0

Universal Simplifier and Solver


Done!

Hope this helps!