Question 72441
1/m + 4m/(m+1) = 4       final answer is: m = 1/3
{{{1/m+4m/(m+1)=4}}}  The LCD is m(m+1)  multiply each term by the LCD.
{{{1*m(m+1)/m+4m*m(m+1)/(m+1)=4*m(m+1)}}}
{{{cross(m)*(m+1)/cross(m)+4m*m*cross((m+1))/cross((m+1))=4*m(m+1)}}}
{{{(m+1)+4m^2=4m^2+4m}}}
{{{m+1+4m^2-4m^2=4m^2-4m^2+4m}}}
{{{m+1=4m}}}
{{{m-m+1=4m-m}}}
{{{1=3m}}}
{{{1/3=3m/3}}}
{{{1/3=m}}}
{{{highlight(m=1/3)}}}  You're right!!!!  Good job!!!!
:

5/(p-1) - 3/(p+2) = 0      final answer is:  p = -13/2
{{{5/(p-1)-3/(p+2)=0}}}  The LCD is (p-1)(p+2), multiply each term by the LCD.
{{{5*(p-1)(p+2)/(p-1)-3(p-1)(p+2)/(p+2)=0*(p-1)(p+2)}}}
{{{5*cross((p-1))(p+2)/cross((p-1))-3(p-1)*cross((p+2))/cross((p+2))=0*(p-1)(p+2)}}}
{{{5(p+2)-3(p-1)=0}}}
{{{5p+10-3p+3=0}}}
{{{2p+13=0}}}
{{{2p+13-13=0-13}}}
{{{2p=-13}}}
{{{2p/2=-13/2}}}
{{{highlight(p=-13/2)}}}  You're right again!!!!  
2 for 2 ain't bad!!!!
Happy Calculating!!!!