document.write( "Question 207406: I need some help with these two questions please?\r
\n" ); document.write( "\n" ); document.write( "1. Solve by factoring and using the principle of zero products.\r
\n" ); document.write( "\n" ); document.write( "2x2 = 3x \r
\n" ); document.write( "\n" ); document.write( "2. The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three sides of the triangle.
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Algebra.Com's Answer #156829 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'll do the first one to get you started.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2=3x\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2-3x=0\" Subtract 3x from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x%282x-3%29=0\" Factor out the GCF 'x'\r
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\n" ); document.write( "\n" ); document.write( "\"x=0\" or \"2x-3=0\" Set each factor equal to 0 (using the zero product property)\r
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\n" ); document.write( "\n" ); document.write( "\"x=0\" or \"2x=3\" For the second equation, add 3 to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x=0\" or \"x=3%2F2\" For the second equation, divide both sides by 2 to isolate 'x'.\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=0\" or \"x=3%2F2\" (note: \"1.5\" the decimal form of \"3%2F2\")
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