Question 178402
{{{u/(u-((u+1))/2)=4}}} Start with the given equation.



{{{2u/(2u-(u+1))=4}}} Multiply EVERY term (except the terms in the parenthesis) on the left side by the inner LCD 2 to clear out the inner fraction {{{((u+1))/2}}}



{{{2u/(2u-u-1)=4}}} Distribute



{{{2u/(u-1)=4}}} Combine like terms.



{{{2u=4(u-1)}}} Multiply both sides by {{{u-1}}}



{{{2u=4u-4}}} Distribute.



{{{2u-4u=-4}}} Subtract {{{4u}}} from both sides.



{{{-2u=-4}}} Combine like terms on the left side.



{{{u=(-4)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{u}}}.



{{{u=2}}} Reduce.



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Answer:


So the answer is {{{u=2}}}