document.write( "Question 22767: 1/2d+3/8=-2d \n" ); document.write( "

Algebra.Com's Answer #11155 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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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.

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DETAILED EXPLANATION

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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 $\"highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Ad%2B3%2F8=-2d\"$ .
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Look at $\"highlight_red%28+1+%29%2F2%2Ad%2B3%2F8=-2d\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"d%2F2%2B3%2F8=-2d\"$ .
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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 $\"d%2F2%2B3%2F8%2Bhighlight_green%28+2%2Ad+%29=0\"$ .
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Look at $\"d%2F2%2Bhighlight_red%28+3%2F8+%29%2B2%2Ad=0\"$ .
Moved $\"3%2F8\"$ to the right of expression
It becomes $\"d%2F2%2B2%2Ad%2Bhighlight_green%28+3%2F8+%29=0\"$ .
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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 $\"highlight_green%28+%281%2F2%2B2%29%2Ad+%29%2B3%2F8=0\"$ .
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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 $\"%28highlight_green%28+5%2F2+%29%29%2Ad%2B3%2F8=0\"$ .
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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 $\"highlight_green%28+5+%29%2Fhighlight_green%28+2+%29%2Ad%2B3%2F8=0\"$ .
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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: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: d=-0.15.

Universal Simplifier and Solver

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Done!

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