document.write( "Question 34500: (2m-7)^2-8(2m-7)+12=0 \n" ); document.write( "
Algebra.Com's Answer #20771 by lyra(94)\"\" \"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: m=6.5,m=4.5.
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  • Graphical form: Equation \"%282m-7%29%5E2-8%2A%282m-7%29%2B12=0\" was fully solved.
  • Text form: (2m-7)^2-8*(2m-7)+12=0 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%282m-7%29%5E2-8%2A%282m-7%29%2B12=0+%29\"
    For tutors: simplify_cartoon( (2m-7)^2-8*(2m-7)+12=0 )
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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 \"%282%2Am-7%29%5E2-highlight_red%28+8%2A%282%2Am-7%29+%29%2B12=0\".
Expanded term \"-8\" by using associative property on \"%282%2Am-7%29\"
It becomes \"%282%2Am-7%29%5E2-highlight_green%28+8%2A2%2Am+%29%2Bhighlight_green%28+8%2A7+%29%2B12=0\".
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Look at \"%282%2Am-7%29%5E2-highlight_red%28+8+%29%2Ahighlight_red%28+2+%29%2Am%2B8%2A7%2B12=0\".
Multiplied numerator integers
It becomes \"%282%2Am-7%29%5E2-highlight_green%28+16+%29%2Am%2B8%2A7%2B12=0\".
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Look at \"%282%2Am-7%29%5E2-16%2Am%2Bhighlight_red%28+8+%29%2Ahighlight_red%28+7+%29%2B12=0\".
Multiplied numerator integers
It becomes \"%282%2Am-7%29%5E2-16%2Am%2Bhighlight_green%28+56+%29%2B12=0\".
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Look at \"%282%2Am-7%29%5E2-16%2Am%2Bhighlight_red%28+56+%29%2Bhighlight_red%28+12+%29=0\".
Added fractions or integers together
It becomes \"%282%2Am-7%29%5E2-16%2Am%2Bhighlight_green%28+68+%29=0\".
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Look at \"highlight_red%28+%282%2Am-7%29%5E2-16%2Am%2B68+%29=0\".
Equation \"highlight_red%28+%282%2Am-7%29%5E2-16%2Am%2B68=0+%29\" is a quadratic equation: 4*m^2-44*m+117 =0, and has solutions 6.5,4.5
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: m=6.5,m=4.5.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Hope this helps,
\n" ); document.write( "lyra \n" ); document.write( "
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