document.write( "Question 188099: I have to solve this without using the quadratic equation and really just dont know how to.\r
\n" ); document.write( "\n" ); document.write( "Solve ( x^2 – 2x )( x + 3) = -2x ( x + 1)
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Algebra.Com's Answer #141007 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28+x%5E2-2x+%29%28+x+%2B+3%29+=+-2x+%28+x+%2B+1%29+\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%2B3x%5E2-2x%5E2-6x+=+-2x+%28+x+%2B+1%29+\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%2B3x%5E2-2x%5E2-6x+=+-2x%5E2-2x+\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%2B3x%5E2-2x%5E2-6x%2B2x%5E2%2B2x=0\" Get everything to the left side\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%2B3x%5E2-4x=0\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x%5E2%2B3x-4%29=0\" Factor out the GCF \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=0\" or \"x%5E2%2B3x-4=0\" Set each factor equal to zero\r
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\n" ); document.write( "\n" ); document.write( "So the first solution is \"x=0\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's solve \"x%5E2%2B3x-4=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B4%29%28x-1%29=0\" Factor the left side\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B4=0\" or \"x-1=0\" Set each factor equal to zero\r
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\n" ); document.write( "\n" ); document.write( "\"x=-4\" or \"x=1\" Solve for \"x\" in each equation\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=0\", \"x=-4\", or \"x=1\"
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