-3x(3x-8)=2x

Solution for -3x(3x-8)=2x equation:

-3x(3x-8)=2x

We move all terms to the left:

-3x(3x-8)-(2x)=0

We add all the numbers together, and all the variables

-2x-3x(3x-8)=0

We multiply parentheses

-9x^2-2x+24x=0

We add all the numbers together, and all the variables

-9x^2+22x=0

a = -9; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·(-9)·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*-9}=\frac{-44}{-18}
=2+4/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*-9}=\frac{0}{-18}
=0
$