48(x+15)2x=60

Solution for 48(x+15)2x=60 equation:

48(x+15)2x=60

We move all terms to the left:

48(x+15)2x-(60)=0

We multiply parentheses

96x^2+1440x-60=0

a = 96; b = 1440; c = -60;
Δ = b2-4ac
Δ = 14402-4·96·(-60)
Δ = 2096640
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:

$\sqrt{\Delta}=\sqrt{2096640}=\sqrt{2304*910}=\sqrt{2304}*\sqrt{910}=48\sqrt{910}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1440)-48\sqrt{910}}{2*96}=\frac{-1440-48\sqrt{910}}{192}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1440)+48\sqrt{910}}{2*96}=\frac{-1440+48\sqrt{910}}{192}
$