8x*3x=115

Solution for 8x*3x=115 equation:

8x*3x=115

We move all terms to the left:

8x*3x-(115)=0

Wy multiply elements

24x^2-115=0

a = 24; b = 0; c = -115;
Δ = b2-4ac
Δ = 02-4·24·(-115)
Δ = 11040
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:

$\sqrt{\Delta}=\sqrt{11040}=\sqrt{16*690}=\sqrt{16}*\sqrt{690}=4\sqrt{690}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{690}}{2*24}=\frac{0-4\sqrt{690}}{48}
=-\frac{4\sqrt{690}}{48}
=-\frac{\sqrt{690}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{690}}{2*24}=\frac{0+4\sqrt{690}}{48}
=\frac{4\sqrt{690}}{48}
=\frac{\sqrt{690}}{12}
$