6/3x+3/6x=28/9

Solution for 6/3x+3/6x=28/9 equation:

6/3x+3/6x=28/9

We move all terms to the left:

6/3x+3/6x-(28/9)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R


We add all the numbers together, and all the variables

6/3x+3/6x-(+28/9)=0

We get rid of parentheses

6/3x+3/6x-28/9=0

We calculate fractions


(-3024x^2)/1458x^2+2916x/1458x^2+729x/1458x^2=0

We multiply all the terms by the denominator


(-3024x^2)+2916x+729x=0

We add all the numbers together, and all the variables

(-3024x^2)+3645x=0

We get rid of parentheses

-3024x^2+3645x=0

a = -3024; b = 3645; c = 0;
Δ = b2-4ac
Δ = 36452-4·(-3024)·0
Δ = 13286025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13286025}=3645$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3645)-3645}{2*-3024}=\frac{-7290}{-6048}
=1+23/112
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3645)+3645}{2*-3024}=\frac{0}{-6048}
=0
$