5x*3x=960

Solution for 5x*3x=960 equation:

5x*3x=960

We move all terms to the left:

5x*3x-(960)=0

Wy multiply elements

15x^2-960=0

a = 15; b = 0; c = -960;
Δ = b2-4ac
Δ = 02-4·15·(-960)
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*15}=\frac{-240}{30}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*15}=\frac{240}{30}
=8
$