document.write( "Question 1031440: 2x - 3/x + 2/6 = 4/2x \n" ); document.write( "

Algebra.Com's Answer #646144 by Boreal(15235) $\"\"$ $\"About$

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2x - 3/x + 2/6 = 4/2x
\n" ); document.write( "Multiply everything by a common denominator of 6x
\n" ); document.write( "12x^2-18+2x=12.
\n" ); document.write( "collect terms
\n" ); document.write( "12x^2+2x-30=0
\n" ); document.write( "divide by 2
\n" ); document.write( "6x^2+x-15=0
\n" ); document.write( "x^2+x-90=0, divide the coefficient by 6 and multiply the constant by it.
\n" ); document.write( "(x+10)(x-9)=0 factor.
\n" ); document.write( "divide the constant by 6 and reduce
\n" ); document.write( "(x+(5/3))(x-3/2); now move the denominator in front of the
\n" ); document.write( "(3x+5)(2x-3)=0
\n" ); document.write( "x=-5/3 and 3/2; neither one of these makes the original denominators 0
\n" ); document.write( " $\"graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C12x%5E2%2B2x-30%29\"$
\n" ); document.write( "Check in original
\n" ); document.write( "3-2+2/6=4/3 works
\n" ); document.write( "-10/3+9/5+1/3=-12/10=-6/5
\n" ); document.write( "-50/15+27/15+5/15==18/15=-6/5; Checks.
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