X=4/9x=0.6

Solution for X=4/9x=0.6 equation:

X=4/9X=0.6

We move all terms to the left:

X-(4/9X)=0


Domain of the equation: 9X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+4/9X)=0

We get rid of parentheses

X-4/9X=0

We multiply all the terms by the denominator


X*9X-4=0

Wy multiply elements

9X^2-4=0

a = 9; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·9·(-4)
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*9}=\frac{-12}{18}
=-2/3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*9}=\frac{12}{18}
=2/3
$