6-4/(a+2)=8+a

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Solution for 6-4/(a+2)=8+a equation:



6-4/(a+2)=8+a
We move all terms to the left:
6-4/(a+2)-(8+a)=0
Domain of the equation: (a+2)!=0
We move all terms containing a to the left, all other terms to the right
a!=-2
a∈R
We add all the numbers together, and all the variables
-4/(a+2)-(a+8)+6=0
We get rid of parentheses
-4/(a+2)-a-8+6=0
We multiply all the terms by the denominator
-a*(a+2)-8*(a+2)+6*(a+2)-4=0
We multiply parentheses
-a^2-2a-8a+6a-16+12-4=0
We add all the numbers together, and all the variables
-1a^2-4a-8=0
a = -1; b = -4; c = -8;
Δ = b2-4ac
Δ = -42-4·(-1)·(-8)
Δ = -16
Delta is less than zero, so there is no solution for the equation

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