SOLUTION: solve. a-16=a/4+2

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Question 22788: solve. a-16=a/4+2
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: a=24.
  • Graphical form: Equation a-16=%28a%2F4%29%2B2 was fully solved.
  • Text form: a-16=(a/4)+2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+a-16=%28a%2F4%29%2B2+%29
    For tutors: simplify_cartoon( a-16=(a/4)+2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at a-16=highlight_red%28+%28a%2F4%29+%29%2B2.
Remove unneeded parentheses around terms highlight_red%28+a%2F4+%29
It becomes a-16=highlight_green%28+a%2F4+%29%2B2.
Look at a-16=highlight_red%28+a%2F4%2B2+%29.
Moved these terms to the left highlight_green%28+-a%2F4+%29,highlight_green%28+-2+%29
It becomes a-16-highlight_green%28+a%2F4+%29-highlight_green%28+2+%29=0.
Look at a-highlight_red%28+16+%29-a%2F4-highlight_red%28+2+%29=0.
Added fractions or integers together
It becomes a%2Bhighlight_green%28+-18+%29-a%2F4=0.
Look at a%2Bhighlight_red%28+-18+%29-a%2F4=0.
Moved -18 to the right of expression
It becomes a-a%2F4%2Bhighlight_green%28+-18+%29=0.
Look at a-a%2F4%2Bhighlight_red%28+-18+%29=0.
Removed extra sign in front of -18
It becomes a-a%2F4-highlight_green%28+18+%29=0.
Look at highlight_red%28+a+%29-highlight_red%28+a%2F4+%29-18=0.
Eliminated similar terms highlight_red%28+a+%29,highlight_red%28+-a%2F4+%29 replacing them with highlight_green%28+%281-1%2F4%29%2Aa+%29
It becomes highlight_green%28+%281-1%2F4%29%2Aa+%29-18=0.
Look at %28highlight_red%28+1+%29-highlight_red%28+1%2F4+%29%29%2Aa-18=0.
Added fractions or integers together
It becomes %28highlight_green%28+3%2F4+%29%29%2Aa-18=0.
Look at highlight_red%28+%28highlight_red%28+3%2F4+%29%29%2Aa+%29-18=0.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+1%2F4+%29
It becomes highlight_green%28+3+%29%2Fhighlight_green%28+4+%29%2Aa-18=0.
Look at highlight_red%28+3%2F4%2Aa-18+%29=0.
Solved linear equation highlight_red%28+3%2F4%2Aa-18=0+%29 equivalent to 0.75*a-18 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=24.

Universal Simplifier and Solver


Done!

Hope this helps!