(X-5)y=3300

Solution for (X-5)y=3300 equation:

(X-5)X=3300

We move all terms to the left:

(X-5)X-(3300)=0

We multiply parentheses

X^2-5X-3300=0

a = 1; b = -5; c = -3300;
Δ = b2-4ac
Δ = -52-4·1·(-3300)
Δ = 13225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13225}=115$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-115}{2*1}=\frac{-110}{2}
=-55
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+115}{2*1}=\frac{120}{2}
=60
$