1/2x-3=3/2x+4x

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Solution for 1/2x-3=3/2x+4x equation: 



1/2x-3=3/2x+4x

We move all terms to the left:

1/2x-3-(3/2x+4x)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x+4x)!=0

x∈R



We add all the numbers together, and all the variables

1/2x-(+4x+3/2x)-3=0

We get rid of parentheses

1/2x-4x-3/2x-3=0

We multiply all the terms by the denominator


-4x*2x-3*2x+1-3=0

We add all the numbers together, and all the variables

-4x*2x-3*2x-2=0

Wy multiply elements

-8x^2-6x-2=0

a = -8; b = -6; c = -2;
Δ = b2-4ac
Δ = -62-4·(-8)·(-2)
Δ = -28
Delta is less than zero, so there is no solution for the equation

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