1/2x-3=2-34x

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Solution for 1/2x-3=2-34x equation: 



1/2x-3=2-34x

We move all terms to the left:

1/2x-3-(2-34x)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We add all the numbers together, and all the variables

1/2x-(-34x+2)-3=0

We get rid of parentheses

1/2x+34x-2-3=0

We multiply all the terms by the denominator


34x*2x-2*2x-3*2x+1=0

Wy multiply elements

68x^2-4x-6x+1=0

We add all the numbers together, and all the variables

68x^2-10x+1=0

a = 68; b = -10; c = +1;
Δ = b2-4ac
Δ = -102-4·68·1
Δ = -172
Delta is less than zero, so there is no solution for the equation

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