X(9x-2)=11x

Solution for X(9x-2)=11x equation:

X(9X-2)=11X

We move all terms to the left:

X(9X-2)-(11X)=0

We add all the numbers together, and all the variables

-11X+X(9X-2)=0

We multiply parentheses

9X^2-11X-2X=0

We add all the numbers together, and all the variables

9X^2-13X=0

a = 9; b = -13; c = 0;
Δ = b2-4ac
Δ = -132-4·9·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-13}{2*9}=\frac{0}{18}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+13}{2*9}=\frac{26}{18}
=1+4/9
$