3(5x+8)4x-4=96

Solution for 3(5x+8)4x-4=96 equation:

3(5x+8)4x-4=96

We move all terms to the left:

3(5x+8)4x-4-(96)=0

We add all the numbers together, and all the variables

3(5x+8)4x-100=0

We multiply parentheses

60x^2+96x-100=0

a = 60; b = 96; c = -100;
Δ = b2-4ac
Δ = 962-4·60·(-100)
Δ = 33216
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:

$\sqrt{\Delta}=\sqrt{33216}=\sqrt{64*519}=\sqrt{64}*\sqrt{519}=8\sqrt{519}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-8\sqrt{519}}{2*60}=\frac{-96-8\sqrt{519}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+8\sqrt{519}}{2*60}=\frac{-96+8\sqrt{519}}{120}
$