18x(40xX+26)=22788

Solution for 18x(40xX+26)=22788 equation:

18x(40xx+26)=22788

We move all terms to the left:

18x(40xx+26)-(22788)=0

We multiply parentheses

720x^2+468x-22788=0

a = 720; b = 468; c = -22788;
Δ = b2-4ac
Δ = 4682-4·720·(-22788)
Δ = 65848464
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:

$\sqrt{\Delta}=\sqrt{65848464}=\sqrt{1296*50809}=\sqrt{1296}*\sqrt{50809}=36\sqrt{50809}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(468)-36\sqrt{50809}}{2*720}=\frac{-468-36\sqrt{50809}}{1440}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(468)+36\sqrt{50809}}{2*720}=\frac{-468+36\sqrt{50809}}{1440}
$