2x*x+8x=384

Solution for 2x*x+8x=384 equation:

2x*x+8x=384

We move all terms to the left:

2x*x+8x-(384)=0

We add all the numbers together, and all the variables

8x+2x*x-384=0

Wy multiply elements

2x^2+8x-384=0

a = 2; b = 8; c = -384;
Δ = b2-4ac
Δ = 82-4·2·(-384)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-56}{2*2}=\frac{-64}{4}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+56}{2*2}=\frac{48}{4}
=12
$