2-1/2x=8x-1

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Solution for 2-1/2x=8x-1 equation: 



2-1/2x=8x-1

We move all terms to the left:

2-1/2x-(8x-1)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We get rid of parentheses

-1/2x-8x+1+2=0

We multiply all the terms by the denominator


-8x*2x+1*2x+2*2x-1=0

Wy multiply elements

-16x^2+2x+4x-1=0

We add all the numbers together, and all the variables

-16x^2+6x-1=0

a = -16; b = 6; c = -1;
Δ = b2-4ac
Δ = 62-4·(-16)·(-1)
Δ = -28
Delta is less than zero, so there is no solution for the equation

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