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-60+8/x-6/(0.2-x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (0.2-x)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-x!=-0.2
x!=-0.2/-1
x!=0.2/1
x∈R
8/x-6/(-1x+0.2)-60=0
We calculate fractions
(-8x+1.6)/(-1x^2+0.2x)+(-6x)/(-1x^2+0.2x)-60=0
We multiply all the terms by the denominator
-60*(-1x^2+0.2x)+(-8x+1.6)+(-6x)=0
We multiply parentheses
60x^2-0x+(-8x+1.6)+(-6x)=0
We get rid of parentheses
60x^2-0x-8x-6x+1.6=0
We add all the numbers together, and all the variables
60x^2-15x+1.6=0
a = 60; b = -15; c = +1.6;
Δ = b2-4ac
Δ = -152-4·60·1.6
Δ = -159
Delta is less than zero, so there is no solution for the equation
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