document.write( "Question 288761: Can you help me solve and show solution to this problem, it is supposed to be an equation with two solutions? (x/3) = (4/x+1)Thank you \n" ); document.write( "
Algebra.Com's Answer #209256 by texttutoring(324)\"\" \"About 
You can put this solution on YOUR website!
You need to cross-multiply:\r
\n" ); document.write( "\n" ); document.write( "\"x%2F3+=+4%2F%28x%2B1%29\"
\n" ); document.write( "\"x%28x%2B1%29=4%283%29\"
\n" ); document.write( "\"x%5E2%2Bx=12\"\r
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\n" ); document.write( "\n" ); document.write( "Now set the right side to zero so that you can solve by factoring:\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx-12=0\"\r
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\n" ); document.write( "\n" ); document.write( "Ask yourself, what two numbers multiply to -12, and when you add them up, they equal +1? The answer is +4 and -3:\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B4%29%28x-3%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "So you have two options:\r
\n" ); document.write( "\n" ); document.write( "either x+4=0, meaning x=-4\r
\n" ); document.write( "\n" ); document.write( "or x-3=0, meaning x=3\r
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\n" ); document.write( "\n" ); document.write( "So your two solutions are x=-4, and x=3.
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