2(1/3)x=2/9

Solution for 2(1/3)x=2/9 equation:

2(1/3)x=2/9

We move all terms to the left:

2(1/3)x-(2/9)=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(+1/3)x-(+2/9)=0

We multiply parentheses

2x^2-(+2/9)=0

We get rid of parentheses

2x^2-2/9=0

We multiply all the terms by the denominator


2x^2*9-2=0

Wy multiply elements

18x^2-2=0

a = 18; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·18·(-2)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*18}=\frac{-12}{36}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*18}=\frac{12}{36}
=1/3
$