X+(2/3)x=0

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Solution for X+(2/3)x=0 equation:



X+(2/3)X=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
X+(+2/3)X=0
We multiply parentheses
2X^2+X=0
a = 2; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·2·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*2}=\frac{-2}{4} =-1/2 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*2}=\frac{0}{4} =0 $

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