x(x-2)(x+2)=5760

Solution for x(x-2)(x+2)=5760 equation:

x(x-2)(x+2)=5760

We move all terms to the left:

x(x-2)(x+2)-(5760)=0

We use the square of the difference formula

x^2-4-5760=0

We add all the numbers together, and all the variables

x^2-5764=0

a = 1; b = 0; c = -5764;
Δ = b2-4ac
Δ = 02-4·1·(-5764)
Δ = 23056
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:

$\sqrt{\Delta}=\sqrt{23056}=\sqrt{16*1441}=\sqrt{16}*\sqrt{1441}=4\sqrt{1441}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{1441}}{2*1}=\frac{0-4\sqrt{1441}}{2}
=-\frac{4\sqrt{1441}}{2}
=-2\sqrt{1441}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{1441}}{2*1}=\frac{0+4\sqrt{1441}}{2}
=\frac{4\sqrt{1441}}{2}
=2\sqrt{1441}
$