(2/3)x=x-5

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Solution for (2/3)x=x-5 equation:



(2/3)x=x-5
We move all terms to the left:
(2/3)x-(x-5)=0
Domain of the equation: 3)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+2/3)x-(x-5)=0
We multiply parentheses
2x^2-(x-5)=0
We get rid of parentheses
2x^2-x+5=0
We add all the numbers together, and all the variables
2x^2-1x+5=0
a = 2; b = -1; c = +5;
Δ = b2-4ac
Δ = -12-4·2·5
Δ = -39
Delta is less than zero, so there is no solution for the equation

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