3/(4u+8)+2=-3/u+2

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Solution for 3/(4u+8)+2=-3/u+2 equation:



3/(4u+8)+2=-3/u+2
We move all terms to the left:
3/(4u+8)+2-(-3/u+2)=0
Domain of the equation: (4u+8)!=0
We move all terms containing u to the left, all other terms to the right
4u!=-8
u!=-8/4
u!=-2
u∈R
Domain of the equation: u+2)!=0
u∈R
We get rid of parentheses
3/(4u+8)+3/u-2+2=0
We calculate fractions
3u/(4u^2+8u)+(12u+24)/(4u^2+8u)-2+2=0
We add all the numbers together, and all the variables
3u/(4u^2+8u)+(12u+24)/(4u^2+8u)=0
We multiply all the terms by the denominator
3u+(12u+24)=0
We get rid of parentheses
3u+12u+24=0
We add all the numbers together, and all the variables
15u+24=0
We move all terms containing u to the left, all other terms to the right
15u=-24
u=-24/15
u=-1+3/5

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