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(6x+3)/(-6x+5)=x
We move all terms to the left:
(6x+3)/(-6x+5)-(x)=0
Domain of the equation: (-6x+5)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-6x!=-5
x!=-5/-6
x!=5/6
x∈R
-1x+(6x+3)/(-6x+5)=0
We multiply all the terms by the denominator
-1x*(-6x+5)+(6x+3)=0
We multiply parentheses
6x^2-5x+(6x+3)=0
We get rid of parentheses
6x^2-5x+6x+3=0
We add all the numbers together, and all the variables
6x^2+x+3=0
a = 6; b = 1; c = +3;
Δ = b2-4ac
Δ = 12-4·6·3
Δ = -71
Delta is less than zero, so there is no solution for the equation
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