-1/2x+1=7x-1

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Solution for -1/2x+1=7x-1 equation: 



-1/2x+1=7x-1

We move all terms to the left:

-1/2x+1-(7x-1)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We get rid of parentheses

-1/2x-7x+1+1=0

We multiply all the terms by the denominator


-7x*2x+1*2x+1*2x-1=0

Wy multiply elements

-14x^2+2x+2x-1=0

We add all the numbers together, and all the variables

-14x^2+4x-1=0

a = -14; b = 4; c = -1;
Δ = b2-4ac
Δ = 42-4·(-14)·(-1)
Δ = -40
Delta is less than zero, so there is no solution for the equation

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