document.write( "Question 68307: Please help me solve for R for this equation: $\"%28R%2F%28R%2B1%29%29+%2B+2=%283R%29%2F%28R%2B2%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #48621 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help me solve for R for this equation:
\n" ); document.write( " $\"+%28R%2F%28R%2B1%29%29+%2B+2=%283R%29%2F%28R%2B2%29\"$
\n" ); document.write( ":
\n" ); document.write( "Get rid of the denominators, multiply each term by (R+1)(R+2), results:
\n" ); document.write( ":
\n" ); document.write( "R(R+2) + 2(R+1)(R+2) = 3R(R+1)
\n" ); document.write( ":
\n" ); document.write( "R^2 + 2R + 2(R^2 + 3R + 2) = 3R^2 + 3R
\n" ); document.write( ":
\n" ); document.write( "R^2 + 2R + 2R^2 + 6R + 4 = 3R^2 + 3R
\n" ); document.write( ":
\n" ); document.write( "Group like terms on the left, -4 all alone on the right:
\n" ); document.write( ":
\n" ); document.write( "R^2 + 2R^2 - 3R^2 + 2R + 6R - 3R = -4
\n" ); document.write( ":
\n" ); document.write( "The R^2's cancel out leaving us with:
\n" ); document.write( "5R = -4
\n" ); document.write( "R = -4/5
\n" ); document.write( ":
\n" ); document.write( "It easier to check the solution if R=-.8:
\n" ); document.write( "Substitute -.8 for R:
\n" ); document.write( ":
\n" ); document.write( " $\"+%28R%2F%28R%2B1%29%29+%2B+2=%283R%29%2F%28R%2B2%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"+%28-.8%2F%28-.8%2B1%29%29+%2B+2=%283%28-.8%29%29%2F%28-.8%2B2%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"+%28-.8%2F%28.2%29%29+%2B+2=%28-2.4%29%2F%281.2%29\"$
\n" ); document.write( ":
\n" ); document.write( "- 4 + 2 = -2; checks our solution
\n" ); document.write( " \n" ); document.write( "

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