1/2x+4-3x=6+3/2x-2

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Solution for 1/2x+4-3x=6+3/2x-2 equation: 



1/2x+4-3x=6+3/2x-2

We move all terms to the left:

1/2x+4-3x-(6+3/2x-2)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





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

x∈R



We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

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

We add all the numbers together, and all the variables

-6x^2-2=0

a = -6; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·(-6)·(-2)
Δ = -48
Delta is less than zero, so there is no solution for the equation

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