(5x-16)(2x)=50

Solution for (5x-16)(2x)=50 equation:

(5x-16)(2x)=50

We move all terms to the left:

(5x-16)(2x)-(50)=0

We multiply parentheses

10x^2-32x-50=0

a = 10; b = -32; c = -50;
Δ = b2-4ac
Δ = -322-4·10·(-50)
Δ = 3024
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:

$\sqrt{\Delta}=\sqrt{3024}=\sqrt{144*21}=\sqrt{144}*\sqrt{21}=12\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-12\sqrt{21}}{2*10}=\frac{32-12\sqrt{21}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+12\sqrt{21}}{2*10}=\frac{32+12\sqrt{21}}{20}
$