x*(2x-4)=576

Solution for x*(2x-4)=576 equation:

x(2x-4)=576

We move all terms to the left:

x(2x-4)-(576)=0

We multiply parentheses

2x^2-4x-576=0

a = 2; b = -4; c = -576;
Δ = b2-4ac
Δ = -42-4·2·(-576)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-68}{2*2}=\frac{-64}{4}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+68}{2*2}=\frac{72}{4}
=18
$