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 add all the numbers together, and all the variables

x*2x-580=0

Wy multiply elements

2x^2-580=0

a = 2; b = 0; c = -580;
Δ = b2-4ac
Δ = 02-4·2·(-580)
Δ = 4640
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4640}=\sqrt{16*290}=\sqrt{16}*\sqrt{290}=4\sqrt{290}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{290}}{2*2}=\frac{0-4\sqrt{290}}{4}
=-\frac{4\sqrt{290}}{4}
=-\sqrt{290}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{290}}{2*2}=\frac{0+4\sqrt{290}}{4}
=\frac{4\sqrt{290}}{4}
=\sqrt{290}
$