SOLUTION: 1/2d+3/8=-2d

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Question 22767: 1/2d+3/8=-2d
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: d=-0.15.
  • Graphical form: Equation %281%2F2%29%2Ad%2B3%2F8=-2d was fully solved.
  • Text form: (1/2)*d+3/8=-2d simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%281%2F2%29%2Ad%2B3%2F8=-2d+%29
    For tutors: simplify_cartoon( (1/2)*d+3/8=-2d )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+1%2F2+%29%29%2Ad+%29%2B3%2F8=-2d.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Ad%2B3%2F8=-2d.
Look at highlight_red%28+1+%29%2F2%2Ad%2B3%2F8=-2d.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes d%2F2%2B3%2F8=-2d.
Look at d%2F2%2B3%2F8=highlight_red%28+-2%2Ad+%29.
Moved these terms to the left highlight_green%28+2%2Ad+%29
It becomes d%2F2%2B3%2F8%2Bhighlight_green%28+2%2Ad+%29=0.
Look at d%2F2%2Bhighlight_red%28+3%2F8+%29%2B2%2Ad=0.
Moved 3%2F8 to the right of expression
It becomes d%2F2%2B2%2Ad%2Bhighlight_green%28+3%2F8+%29=0.
Look at highlight_red%28+d%2F2+%29%2Bhighlight_red%28+2%2Ad+%29%2B3%2F8=0.
Eliminated similar terms highlight_red%28+d%2F2+%29,highlight_red%28+2%2Ad+%29 replacing them with highlight_green%28+%281%2F2%2B2%29%2Ad+%29
It becomes highlight_green%28+%281%2F2%2B2%29%2Ad+%29%2B3%2F8=0.
Look at %28highlight_red%28+1%2F2+%29%2Bhighlight_red%28+2+%29%29%2Ad%2B3%2F8=0.
Added fractions or integers together
It becomes %28highlight_green%28+5%2F2+%29%29%2Ad%2B3%2F8=0.
Look at highlight_red%28+%28highlight_red%28+5%2F2+%29%29%2Ad+%29%2B3%2F8=0.
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%2Ad%2B3%2F8=0.
Look at highlight_red%28+5%2F2%2Ad%2B3%2F8+%29=0.
Solved linear equation highlight_red%28+5%2F2%2Ad%2B3%2F8=0+%29 equivalent to 2.5*d+0.375 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: d=-0.15.

Universal Simplifier and Solver


Done!

Hope this helps!