0.02=(x-1)/x

Solution for 0.02=(x-1)/x equation:

0.02=(x-1)/x

We move all terms to the left:

0.02-((x-1)/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-((x-1)+(0.02)*x)=0


We calculate terms in parentheses: -((x-1)+(0.02)*x), so:

(x-1)+(0.02)*x

We multiply parentheses

(x-1)+0.02x

We get rid of parentheses

x+0.02x-1

We add all the numbers together, and all the variables

1.02x-1

Back to the equation:

-(1.02x-1)


We get rid of parentheses

-1.02x+1=0

We move all terms containing x to the left, all other terms to the right

-1.02x=-1

x=-1/-1.02

x=1/1.02