5x*3x=48

Solution for 5x*3x=48 equation:

5x*3x=48

We move all terms to the left:

5x*3x-(48)=0

Wy multiply elements

15x^2-48=0

a = 15; b = 0; c = -48;
Δ = b2-4ac
Δ = 02-4·15·(-48)
Δ = 2880
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:

$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5}}{2*15}=\frac{0-24\sqrt{5}}{30}
=-\frac{24\sqrt{5}}{30}
=-\frac{4\sqrt{5}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5}}{2*15}=\frac{0+24\sqrt{5}}{30}
=\frac{24\sqrt{5}}{30}
=\frac{4\sqrt{5}}{5}
$