16x(5x-4)=59

Solution for 16x(5x-4)=59 equation:

16x(5x-4)=59

We move all terms to the left:

16x(5x-4)-(59)=0

We multiply parentheses

80x^2-64x-59=0

a = 80; b = -64; c = -59;
Δ = b2-4ac
Δ = -642-4·80·(-59)
Δ = 22976
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:

$\sqrt{\Delta}=\sqrt{22976}=\sqrt{64*359}=\sqrt{64}*\sqrt{359}=8\sqrt{359}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-8\sqrt{359}}{2*80}=\frac{64-8\sqrt{359}}{160}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+8\sqrt{359}}{2*80}=\frac{64+8\sqrt{359}}{160}
$