document.write( "Question 306539: $\"6%286x%2B9%29=x%285x%29\"$ \n" ); document.write( "

Algebra.Com's Answer #219413 by ichudov(507) $\"\"$ $\"About$

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: x=-1.27442304278158,x=8.47442304278158.
Graphical form: Equation $\"6%2A%286x%2B9%29=x%2A%285x%29\"$ was fully solved.
Text form: 6*(6x+9)=x*(5x) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+6%2A%286x%2B9%29=x%2A%285x%29+%29\"$
For tutors: simplify_cartoon( 6*(6x+9)=x*(5x) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"6%2A%286%2Ax%2B9%29=highlight_red%28+x%2A%28highlight_red%28+5%2Ax+%29%29+%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$ , $\"highlight_red%28+x+%29\"$
It becomes $\"6%2A%286%2Ax%2B9%29=x%2Ahighlight_green%28+5+%29%2Ahighlight_green%28+x+%29\"$ .
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Look at $\"6%2A%286%2Ax%2B9%29=highlight_red%28+x+%29%2A5%2Ahighlight_red%28+x+%29\"$ .
Reduce similar several occurrences of $\"highlight_red%28+x+%29\"$ to $\"highlight_green%28+x%5E2+%29\"$
It becomes $\"6%2A%286%2Ax%2B9%29=highlight_green%28+x%5E2+%29%2A5\"$ .
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Look at $\"6%2A%286%2Ax%2B9%29=highlight_red%28+x%5E2%2A5+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x%5E2%2A5+%29\"$
It becomes $\"6%2A%286%2Ax%2B9%29-highlight_green%28+x%5E2%2A5+%29=0\"$ .
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Look at $\"highlight_red%28+6%2A%286%2Ax%2B9%29+%29-x%5E2%2A5=0\"$ .
Expanded term $\"6\"$ by using associative property on $\"%286%2Ax%2B9%29\"$
It becomes $\"highlight_green%28+6%2A6%2Ax+%29%2Bhighlight_green%28+6%2A9+%29-x%5E2%2A5=0\"$ .
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Look at $\"highlight_red%28+6+%29%2Ahighlight_red%28+6+%29%2Ax%2B6%2A9-x%5E2%2A5=0\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+36+%29%2Ax%2B6%2A9-x%5E2%2A5=0\"$ .
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Look at $\"36%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+9+%29-x%5E2%2A5=0\"$ .
Multiplied numerator integers
It becomes $\"36%2Ax%2Bhighlight_green%28+54+%29-x%5E2%2A5=0\"$ .
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Look at $\"36%2Ax%2Bhighlight_red%28+54+%29-x%5E2%2A5=0\"$ .
Moved $\"54\"$ to the right of expression
It becomes $\"36%2Ax-x%5E2%2A5%2Bhighlight_green%28+54+%29=0\"$ .
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Look at $\"highlight_red%28+36%2Ax-x%5E2%2A5%2B54+%29=0\"$ .
Equation $\"highlight_red%28+36%2Ax-x%5E2%2A5%2B54=0+%29\"$ is a quadratic equation: -5*x^2+36*x+54 =0, and has solutions -1.27442304278158,8.47442304278158
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-1.27442304278158,x=8.47442304278158.

Universal Simplifier and Solver

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Done!

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