x*2x=480

Solution for x*2x=480 equation:

x*2x=480

We move all terms to the left:

x*2x-(480)=0

Wy multiply elements

2x^2-480=0

a = 2; b = 0; c = -480;
Δ = b2-4ac
Δ = 02-4·2·(-480)
Δ = 3840
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:

$\sqrt{\Delta}=\sqrt{3840}=\sqrt{256*15}=\sqrt{256}*\sqrt{15}=16\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{15}}{2*2}=\frac{0-16\sqrt{15}}{4}
=-\frac{16\sqrt{15}}{4}
=-4\sqrt{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{15}}{2*2}=\frac{0+16\sqrt{15}}{4}
=\frac{16\sqrt{15}}{4}
=4\sqrt{15}
$