X(x-33)=280

Solution for X(x-33)=280 equation:

X(X-33)=280

We move all terms to the left:

X(X-33)-(280)=0

We multiply parentheses

X^2-33X-280=0

a = 1; b = -33; c = -280;
Δ = b2-4ac
Δ = -332-4·1·(-280)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-47}{2*1}=\frac{-14}{2}
=-7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+47}{2*1}=\frac{80}{2}
=40
$