(x-5)x=104

Solution for (x-5)x=104 equation:

(x-5)x=104

We move all terms to the left:

(x-5)x-(104)=0

We multiply parentheses

x^2-5x-104=0

a = 1; b = -5; c = -104;
Δ = b2-4ac
Δ = -52-4·1·(-104)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-21}{2*1}=\frac{-16}{2}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+21}{2*1}=\frac{26}{2}
=13
$