1/2x-3=-6x-2

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Solution for 1/2x-3=-6x-2 equation: 



1/2x-3=-6x-2

We move all terms to the left:

1/2x-3-(-6x-2)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We get rid of parentheses

1/2x+6x+2-3=0

We multiply all the terms by the denominator


6x*2x+2*2x-3*2x+1=0

Wy multiply elements

12x^2+4x-6x+1=0

We add all the numbers together, and all the variables

12x^2-2x+1=0

a = 12; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·12·1
Δ = -44
Delta is less than zero, so there is no solution for the equation

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