15X(p-29)=15*33-15*29

Solution for 15X(p-29)=15*33-15*29 equation:

15X(X-29)=15*33-15*29

We move all terms to the left:

15X(X-29)-(15*33-15*29)=0

We add all the numbers together, and all the variables

15X(X-29)-60=0

We multiply parentheses

15X^2-435X-60=0

a = 15; b = -435; c = -60;
Δ = b2-4ac
Δ = -4352-4·15·(-60)
Δ = 192825
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:

$\sqrt{\Delta}=\sqrt{192825}=\sqrt{225*857}=\sqrt{225}*\sqrt{857}=15\sqrt{857}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-435)-15\sqrt{857}}{2*15}=\frac{435-15\sqrt{857}}{30}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-435)+15\sqrt{857}}{2*15}=\frac{435+15\sqrt{857}}{30}
$