document.write( "Question 228343: I need assistance with the following problem:\r
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\n" ); document.write( "\n" ); document.write( "4(x+9) + x(x-1) = x(6+x)
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Algebra.Com's Answer #169520 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
I need assistance with the following problem:\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%2B9%29+%2B+x%28x-1%29+=+x%286%2Bx%29\"\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Multiply to get rid of parenthesis.\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B36%2Bx%5E2-x=6x%2Bx%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Rearranging the left side of the equation and combining like terms in x yields\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3x%2B36=6x%2Bx%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Subtract \"x%5E2\" from both sides of the equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3x%2B36-x%5E2=6x%2Bx%5E2-x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B36=6x\"\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Subtract 3x from both sides of the equation.\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B36-3x=6x-3x\"\r
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\n" ); document.write( "\n" ); document.write( "\"36=3x\"\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Divide by 3 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"36%2F3=3x%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"12=x\"\r
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\n" ); document.write( "\n" ); document.write( "Step 6. Substitute \"x=12\" into original equation \"4%28x%2B9%29+%2B+x%28x-1%29+=+x%286%2Bx%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%2812%2B9%29%2B12%2812-1%29=12%286%2B12%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%2821%29%2B12%2811%29=12%2818%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"84%2B132=216\"\r
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\n" ); document.write( "\n" ); document.write( "\"216=216\" which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The solution is \"x=12\"\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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