0.5(0.2-x)=1/5x-0.1

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Solution for 0.5(0.2-x)=1/5x-0.1 equation: 



0.5(0.2-x)=1/5x-0.1

We move all terms to the left:

0.5(0.2-x)-(1/5x-0.1)=0



Domain of the equation: 5x-0.1)!=0

x∈R



We add all the numbers together, and all the variables

0.5(-1x+0.2)-(1/5x-0.1)=0

We multiply parentheses

-0.5x-(1/5x-0.1)+0.1=0

We get rid of parentheses

-0.5x-1/5x+0.1+0.1=0

We multiply all the terms by the denominator


-(0.5x)*5x+(0.1)*5x+(0.1)*5x-1=0

We add all the numbers together, and all the variables

-(+0.5x)*5x+(0.1)*5x+(0.1)*5x-1=0

We multiply parentheses

-0x^2+0.5x+0.5x-1=0

We add all the numbers together, and all the variables

-1x^2+x-1=0

a = -1; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·(-1)·(-1)
Δ = -3
Delta is less than zero, so there is no solution for the equation

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