3=5/(x-1)2x

Solution for 3=5/(x-1)2x equation:

3=5/(x-1)2x

We move all terms to the left:

3-(5/(x-1)2x)=0


Domain of the equation: (x-1)2x)!=0

x∈R


We multiply all the terms by the denominator


-(5+3*(x-1)2x)=0


We calculate terms in parentheses: -(5+3*(x-1)2x), so:

5+3*(x-1)2x

determiningTheFunctionDomain
3*(x-1)2x+5

We multiply parentheses

6x^2-6x+5

Back to the equation:

-(6x^2-6x+5)


We get rid of parentheses

-6x^2+6x-5=0

a = -6; b = 6; c = -5;
Δ = b2-4ac
Δ = 62-4·(-6)·(-5)
Δ = -84
Delta is less than zero, so there is no solution for the equation