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0.2x+0.6/0.4x+01=0.8
We move all terms to the left:
0.2x+0.6/0.4x+01-(0.8)=0
Domain of the equation: 0.4x!=0We add all the numbers together, and all the variables
x!=0/0.4
x!=0
x∈R
0.2x+0.6/0.4x+0.2=0
We multiply all the terms by the denominator
(0.2x)*0.4x+(0.2)*0.4x+0.6=0
We add all the numbers together, and all the variables
(+0.2x)*0.4x+(0.2)*0.4x+0.6=0
We multiply parentheses
0x^2+0x+0.6=0
We add all the numbers together, and all the variables
x^2+x+0.6=0
a = 1; b = 1; c = +0.6;
Δ = b2-4ac
Δ = 12-4·1·0.6
Δ = -1.4
Delta is less than zero, so there is no solution for the equation
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