document.write( "Question 79010: Please help me solve this:
\n" ); document.write( "\"%283x%2B10%29%2F%287x-4%29-%28x%29%2F%284x%2B3%29\"
\n" ); document.write( "

Algebra.Com's Answer #56744 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve this:
\n" ); document.write( "\"%28%283x%2B10%29%29%2F%28%287x-4%29%29=%28x%29%2F%28%284x%2B3%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Since you have a single fraction on each side of the = sign, you can cross multiply:
\n" ); document.write( ":
\n" ); document.write( "(3x+10)*(4x+3) = x(7x-4)
\n" ); document.write( ":
\n" ); document.write( "12x^2 + 49x + 30 = 7x^2 - 4x
\n" ); document.write( ":
\n" ); document.write( "12x^2 - 7x^2 + 49x + 4x + 30 = 0
\n" ); document.write( ":
\n" ); document.write( "5x^2 + 53x + 30 = 0
\n" ); document.write( ":
\n" ); document.write( "Factors to:
\n" ); document.write( "(5x + 3)(x + 10) = 0
\n" ); document.write( ":
\n" ); document.write( "x = -10
\n" ); document.write( "and
\n" ); document.write( "5x = -3
\n" ); document.write( "x = -3/5
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution using x = -.6
\n" ); document.write( "
\n" ); document.write( "\"%28%28-1.8%2B10%29%29%2F%28%28-4.2-4%29%29=%28-.6%29%2F%28%28-2.4%2B3%29%29\"
\n" ); document.write( "\"8.2%2F%28-8.2%29\" = \"%28-.6%29%2F.6\"
\n" ); document.write( ":
\n" ); document.write( "-1 = -1; confirms x = -3/5; you can check it with x = -10
\n" ); document.write( "
\n" );