(26x+2)(18x+6)=180

Solution for (26x+2)(18x+6)=180 equation:

(26x+2)(18x+6)=180

We move all terms to the left:

(26x+2)(18x+6)-(180)=0

We multiply parentheses ..

(+468x^2+156x+36x+12)-180=0

We get rid of parentheses

468x^2+156x+36x+12-180=0

We add all the numbers together, and all the variables

468x^2+192x-168=0

a = 468; b = 192; c = -168;
Δ = b2-4ac
Δ = 1922-4·468·(-168)
Δ = 351360
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:

$\sqrt{\Delta}=\sqrt{351360}=\sqrt{576*610}=\sqrt{576}*\sqrt{610}=24\sqrt{610}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(192)-24\sqrt{610}}{2*468}=\frac{-192-24\sqrt{610}}{936}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(192)+24\sqrt{610}}{2*468}=\frac{-192+24\sqrt{610}}{936}
$