document.write( "Question 38608: Solve the equation:\r
\n" ); document.write( "\n" ); document.write( "(w - 4)^2 = 2w^2 - 6w + 1 solve for w \n" ); document.write( "
Algebra.Com's Answer #24141 by lyra(94)\"\" \"About 
You can put this solution on YOUR website!
Here you go, not very pretty I must say:
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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=-5.24264068711928,w=3.24264068711928.
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  • Graphical form: Equation \"%28%28w-4%29%5E2%29=%28%282w%5E2%29-%286w%2B1%29%29\" was fully solved.
  • Text form: ((w-4)^2)=((2w^2)-(6w+1)) simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%28%28w-4%29%5E2%29=%28%282w%5E2%29-%286w%2B1%29%29+%29\"
    For tutors: simplify_cartoon( ((w-4)^2)=((2w^2)-(6w+1)) )
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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 \"highlight_red%28+%28%28w-4%29%5E2%29+%29=%28%282w%5E2%29-%286w%2B1%29%29\".
Remove unneeded parentheses around terms \"highlight_red%28+%28w-4%29%5E2+%29\"
It becomes \"highlight_green%28+%28w-4%29%5E2+%29=%28%282w%5E2%29-%286w%2B1%29%29\".
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Look at \"%28w-4%29%5E2=%28highlight_red%28+%282%2Aw%5E2%29+%29-%286%2Aw%2B1%29%29\".
Remove unneeded parentheses around terms \"highlight_red%28+2%2Aw%5E2+%29\"
It becomes \"%28w-4%29%5E2=%28highlight_green%28+2%2Aw%5E2+%29-%286%2Aw%2B1%29%29\".
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Look at \"%28w-4%29%5E2=%282%2Aw%5E2-highlight_red%28+%286%2Aw%2B1%29+%29%29\".
Remove unneeded parentheses around terms \"highlight_red%28+-6%2Aw+%29\",\"highlight_red%28+-1+%29\"
It becomes \"%28w-4%29%5E2=%282%2Aw%5E2-highlight_green%28+6%2Aw+%29-highlight_green%28+1+%29%29\".
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Look at \"%28w-4%29%5E2=highlight_red%28+%282%2Aw%5E2-6%2Aw-1%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+2%2Aw%5E2+%29\",\"highlight_red%28+-6%2Aw+%29\",\"highlight_red%28+-1+%29\"
It becomes .
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Look at \"%28w-4%29%5E2=highlight_red%28+2%2Aw%5E2-6%2Aw-1+%29\".
Moved these terms to the left \"highlight_green%28+-2%2Aw%5E2+%29\",\"highlight_green%28+6%2Aw+%29\",\"highlight_green%28+1+%29\"
It becomes .
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Look at \"highlight_red%28+%28w-4%29%5E2-2%2Aw%5E2%2B6%2Aw%2B1+%29=0\".
Equation \"highlight_red%28+%28w-4%29%5E2-2%2Aw%5E2%2B6%2Aw%2B1=0+%29\" is a quadratic equation: -w^2-2*w+17 =0, and has solutions -5.24264068711928,3.24264068711928
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: w=-5.24264068711928,w=3.24264068711928.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Hope this helps and feel free to contact me with further questions,
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