document.write( "Question 308338: The length of a rectangle is twice the width; the perimeter is 42 inches. Find the width? \n" ); document.write( "
Algebra.Com's Answer #220456 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
Let's use \"w\" for width.\r
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\n" ); document.write( "\n" ); document.write( "The perimeter is two lengths, plus two widths:\r
\n" ); document.write( "\n" ); document.write( "perimeter = 42 = 2*2w+2*w
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: w=7.
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  • Graphical form: Equation \"42=2%2A2w%2B2%2Aw\" was fully solved.
  • Text form: 42=2*2w+2*w simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+42=2%2A2w%2B2%2Aw+%29\"
    For tutors: simplify_cartoon( 42=2*2w+2*w )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"42=highlight_red%28+2+%29%2Ahighlight_red%28+2+%29%2Aw%2B2%2Aw\".
Multiplied numerator integers
It becomes \"42=highlight_green%28+4+%29%2Aw%2B2%2Aw\".
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Look at \"42=highlight_red%28+4%2Aw+%29%2Bhighlight_red%28+2%2Aw+%29\".
Eliminated similar terms \"highlight_red%28+4%2Aw+%29\",\"highlight_red%28+2%2Aw+%29\" replacing them with \"highlight_green%28+%284%2B2%29%2Aw+%29\"
It becomes \"42=highlight_green%28+%284%2B2%29%2Aw+%29\".
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Look at \"42=%28highlight_red%28+4+%29%2Bhighlight_red%28+2+%29%29%2Aw\".
Added fractions or integers together
It becomes \"42=%28highlight_green%28+6+%29%29%2Aw\".
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Look at \"42=highlight_red%28+%28highlight_red%28+6+%29%29%2Aw+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+6+%29\"
It becomes \"42=highlight_green%28+6+%29%2Aw\".
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Look at \"42=highlight_red%28+6%2Aw+%29\".
Moved these terms to the left \"highlight_green%28+-6%2Aw+%29\"
It becomes \"42-highlight_green%28+6%2Aw+%29=0\".
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Look at \"highlight_red%28+42+%29-6%2Aw=0\".
Moved \"42\" to the right of expression
It becomes \"-6%2Aw%2Bhighlight_green%28+42+%29=0\".
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Look at \"highlight_red%28+-6%2Aw%2B42+%29=0\".
Solved linear equation \"highlight_red%28+-6%2Aw%2B42=0+%29\" equivalent to -6*w+42 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: w=7.

Universal Simplifier and Solver

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Done!
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