4x(11/9)=x

Solution for 4x(11/9)=x equation:

4x(11/9)=x

We move all terms to the left:

4x(11/9)-(x)=0

We add all the numbers together, and all the variables

4x(+11/9)-x=0

We add all the numbers together, and all the variables

-1x+4x(+11/9)=0

We multiply parentheses

44x^2-1x=0

a = 44; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·44·0
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*44}=\frac{0}{88}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*44}=\frac{2}{88}
=1/44
$