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(x*6x+3)/2x+1=x
We move all terms to the left:
(x*6x+3)/2x+1-(x)=0
Domain of the equation: 2x!=0We add all the numbers together, and all the variables
x!=0/2
x!=0
x∈R
-1x+(x*6x+3)/2x+1=0
We multiply all the terms by the denominator
-1x*2x+(x*6x+3)+1*2x=0
Wy multiply elements
-2x^2+(x*6x+3)+2x=0
We get rid of parentheses
-2x^2+x*6x+2x+3=0
We add all the numbers together, and all the variables
-2x^2+2x+x*6x+3=0
Wy multiply elements
-2x^2+6x^2+2x+3=0
We add all the numbers together, and all the variables
4x^2+2x+3=0
a = 4; b = 2; c = +3;
Δ = b2-4ac
Δ = 22-4·4·3
Δ = -44
Delta is less than zero, so there is no solution for the equation
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