8x*15x=120

Solution for 8x*15x=120 equation:

8x*15x=120

We move all terms to the left:

8x*15x-(120)=0

Wy multiply elements

120x^2-120=0

a = 120; b = 0; c = -120;
Δ = b2-4ac
Δ = 02-4·120·(-120)
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*120}=\frac{-240}{240}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*120}=\frac{240}{240}
=1
$