X(3x-22)=80

Solution for X(3x-22)=80 equation:

X(3X-22)=80

We move all terms to the left:

X(3X-22)-(80)=0

We multiply parentheses

3X^2-22X-80=0

a = 3; b = -22; c = -80;
Δ = b2-4ac
Δ = -222-4·3·(-80)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-38}{2*3}=\frac{-16}{6}
=-2+2/3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+38}{2*3}=\frac{60}{6}
=10
$