5x(x-8)=(-50)

Solution for 5x(x-8)=(-50) equation:

5x(x-8)=(-50)

We move all terms to the left:

5x(x-8)-((-50))=0

We add all the numbers together, and all the variables

5x(x-8)+50=0

We multiply parentheses

5x^2-40x+50=0

a = 5; b = -40; c = +50;
Δ = b2-4ac
Δ = -402-4·5·50
Δ = 600
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:

$\sqrt{\Delta}=\sqrt{600}=\sqrt{100*6}=\sqrt{100}*\sqrt{6}=10\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-10\sqrt{6}}{2*5}=\frac{40-10\sqrt{6}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+10\sqrt{6}}{2*5}=\frac{40+10\sqrt{6}}{10}
$