(1/2)x+(1/6)x=x-6

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Solution for (1/2)x+(1/6)x=x-6 equation:



(1/2)x+(1/6)x=x-6
We move all terms to the left:
(1/2)x+(1/6)x-(x-6)=0
Domain of the equation: 2)x!=0
x!=0/1
x!=0
x∈R
Domain of the equation: 6)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+1/2)x+(+1/6)x-(x-6)=0
We multiply parentheses
x^2+x^2-(x-6)=0
We get rid of parentheses
x^2+x^2-x+6=0
We add all the numbers together, and all the variables
2x^2-1x+6=0
a = 2; b = -1; c = +6;
Δ = b2-4ac
Δ = -12-4·2·6
Δ = -47
Delta is less than zero, so there is no solution for the equation

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