24x(18x+3)=504

Solution for 24x(18x+3)=504 equation:

24x(18x+3)=504

We move all terms to the left:

24x(18x+3)-(504)=0

We multiply parentheses

432x^2+72x-504=0

a = 432; b = 72; c = -504;
Δ = b2-4ac
Δ = 722-4·432·(-504)
Δ = 876096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{876096}=936$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-936}{2*432}=\frac{-1008}{864}
=-1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+936}{2*432}=\frac{864}{864}
=1
$