SOLUTION: how do you solve: {{{3/4*(5x+6y)*17+85/2+4x-2y}}}

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Question 6772: how do you solve:
3%2F4%2A%285x%2B6y%29%2A17%2B85%2F2%2B4x-2y
Answer by ichudov(507) 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: 3%2F4%2A%285x%2B6y%29%2A17%2B85%2F2%2B4x-2y simplifies to 271%2F4%2Ax%2B149%2F2%2Ay%2B85%2F2
  • Text form: 3/4*(5x+6y)*17+85/2+4x-2y simplifies to 271/4*x+149/2*y+85/2
  • Cartoon (animation) form: simplify_cartoon%28+3%2F4%2A%285x%2B6y%29%2A17%2B85%2F2%2B4x-2y+%29
    For tutors: simplify_cartoon( 3/4*(5x+6y)*17+85/2+4x-2y )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Multiplied numerator integers
It becomes highlight_green%28+51+%29%2F4%2A%285%2Ax%2B6%2Ay%29%2B85%2F2%2B4%2Ax-2%2Ay.
Look at 51%2F4%2A%285%2Ax%2B6%2Ay%29%2Bhighlight_red%28+85%2F2+%29%2B4%2Ax-2%2Ay.
Moved 85%2F2 to the right of expression
It becomes 51%2F4%2A%285%2Ax%2B6%2Ay%29%2B4%2Ax-2%2Ay%2Bhighlight_green%28+85%2F2+%29.
Look at highlight_red%28+51%2F4%2A%285%2Ax%2B6%2Ay%29+%29%2B4%2Ax-2%2Ay%2B85%2F2.
Expanded term 51%2F4 by using associative property on %285%2Ax%2B6%2Ay%29
It becomes .
Look at .
Multiplied numerator integers
It becomes highlight_green%28+255+%29%2F4%2Ax%2B51%2F4%2A6%2Ay%2B4%2Ax-2%2Ay%2B85%2F2.
Look at .
Factors 6 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes 255%2F4%2Ax%2Bhighlight_green%28+153+%29%2F2%2Ay%2B4%2Ax-2%2Ay%2B85%2F2.
Look at highlight_red%28+255%2F4%2Ax+%29%2B153%2F2%2Ay%2Bhighlight_red%28+4%2Ax+%29-2%2Ay%2B85%2F2.
Eliminated similar terms highlight_red%28+255%2F4%2Ax+%29,highlight_red%28+4%2Ax+%29 replacing them with highlight_green%28+%28255%2A1%2F4%2B4%29%2Ax+%29
It becomes highlight_green%28+%28255%2A1%2F4%2B4%29%2Ax+%29%2B153%2F2%2Ay-2%2Ay%2B85%2F2.
Look at .
Eliminated similar terms highlight_red%28+153%2F2%2Ay+%29,highlight_red%28+-2%2Ay+%29 replacing them with highlight_green%28+%28153%2A1%2F2-2%29%2Ay+%29
It becomes %28255%2A1%2F4%2B4%29%2Ax%2Bhighlight_green%28+%28153%2A1%2F2-2%29%2Ay+%29%2B85%2F2.
Look at .
Multiplied numerator integers
It becomes %28highlight_green%28+255+%29%2F4%2B4%29%2Ax%2B%28153%2A1%2F2-2%29%2Ay%2B85%2F2.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+271%2F4+%29%29%2Ax%2B%28153%2A1%2F2-2%29%2Ay%2B85%2F2.
Look at .
Multiplied numerator integers
It becomes %28271%2F4%29%2Ax%2B%28highlight_green%28+153+%29%2F2-2%29%2Ay%2B85%2F2.
Look at %28271%2F4%29%2Ax%2B%28highlight_red%28+153%2F2+%29-highlight_red%28+2+%29%29%2Ay%2B85%2F2.
Added fractions or integers together
It becomes %28271%2F4%29%2Ax%2B%28highlight_green%28+149%2F2+%29%29%2Ay%2B85%2F2.
Look at highlight_red%28+%28highlight_red%28+271%2F4+%29%29%2Ax+%29%2B%28149%2F2%29%2Ay%2B85%2F2.
Remove unneeded parentheses around factor highlight_red%28+271+%29,highlight_red%28+1%2F4+%29
It becomes highlight_green%28+271+%29%2Fhighlight_green%28+4+%29%2Ax%2B%28149%2F2%29%2Ay%2B85%2F2.
Look at 271%2F4%2Ax%2Bhighlight_red%28+%28highlight_red%28+149%2F2+%29%29%2Ay+%29%2B85%2F2.
Remove unneeded parentheses around factor highlight_red%28+149+%29,highlight_red%28+1%2F2+%29
It becomes 271%2F4%2Ax%2Bhighlight_green%28+149+%29%2Fhighlight_green%28+2+%29%2Ay%2B85%2F2.
Result: 271%2F4%2Ax%2B149%2F2%2Ay%2B85%2F2

Universal Simplifier and Solver


Done!