8x*5x=360

Solution for 8x*5x=360 equation:

8x*5x=360

We move all terms to the left:

8x*5x-(360)=0

Wy multiply elements

40x^2-360=0

a = 40; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·40·(-360)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*40}=\frac{-240}{80}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*40}=\frac{240}{80}
=3
$