Question 146883
{{{1/(4m)+(2m)/(m-3)=2}}} Start with the given equation



{{{cross(4m)(m-3)(1/cross(4m))+4m*cross((m-3))((2m)/cross((m-3)))=2*4m(m-3)}}} Multiply <b>every</b> term by the LCD {{{4m(m-3)}}} to clear the fractions.




{{{m-3+8m^2=8m(m-3)}}} Multiply and simplify



{{{m-3+8m^2=8m^2-24m}}} Distribute



{{{m-3+8m^2-8m^2+24m=0}}} Get all terms to the left side.



{{{25m-3=0}}} Combine like terms.



{{{25m=0+3}}} Add {{{3}}} to both sides.



{{{25m=3}}} Combine like terms on the right side.



{{{m=(3)/(25)}}} Divide both sides by {{{25}}} to isolate {{{m}}}.



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Answer:


So the answer is {{{m=3/25}}} 



Which approximates to {{{m=0.12}}}