document.write( "Question 106852: solve the equation by the method of your choice.\r
\n" ); document.write( "\n" ); document.write( " 1 1 = 1
\n" ); document.write( "--- + -- ----
\n" ); document.write( "x+3 x 10
\n" ); document.write( "

Algebra.Com's Answer #77750 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"1%2F%28x%2B3%29%2B1%2Fx=1%2F10\"
\n" ); document.write( "First off, multiply both sides by the product of the denominators to get rid of the fractions.
\n" ); document.write( "\"P=10x%28x%2B3%29\"
\n" ); document.write( "\"10x%28x%2B3%29%2A%281%2F%28x%2B3%29%2B1%2Fx%29=10x%28x%2B3%29%2A%281%2F10%29\"Multiply by P.
\n" ); document.write( "\"10x%28x%2B3%29%2A%281%2F%28x%2B3%29%29%2B10x%28x%2B3%29%2A%281%2Fx%29=x%28x%2B3%29\"Distributive property.
\n" ); document.write( "\"10x%2B10%28x%2B3%29=x%28x%2B3%29\"
\n" ); document.write( "\"10x%2B10x%2B30=x%5E2%2B3x%29\"
\n" ); document.write( "\"20x%2B30=x%5E2%2B3x%29\"
\n" ); document.write( "\"x%5E2%2B3x-20x-30=0%29\"
\n" ); document.write( "\"x%5E2-17x-30=0%29\"Re-arrange all terms to form a quadratic equation.
\n" ); document.write( "\"x+=+%28-%28-17%29+%2B-+sqrt%28+%28-17%29%5E2-4%2A1%2A%28-30%29+%29%29%2F%282%2A1%29+\" Quadratic formula.
\n" ); document.write( "\"x+=+%2817+%2B-+sqrt%28+289%2B120+%29%29%2F%282%29+\"
\n" ); document.write( "\"x+=+%2817+%2B-+sqrt%28+409+%29%29%2F%282%29+\"
\n" ); document.write( "x~(-1.612) or x~18.612
\n" ); document.write( "Check your answers.
\n" ); document.write( "\"%2818.612%2B3%29%5E%28-1%29%2B%2818.612%5E%28-1%29%29=1%2F10\"
\n" ); document.write( "\"%28.04627%29%2B%280.05372%29=1%2F10\"
\n" ); document.write( "\".09999=0.10\"
\n" ); document.write( "Good answer.
\n" ); document.write( "
\n" );