180=(10x+8)(11x-59)

Solution for 180=(10x+8)(11x-59) equation:

180=(10x+8)(11x-59)

We move all terms to the left:

180-((10x+8)(11x-59))=0

We multiply parentheses ..

-((+110x^2-590x+88x-472))+180=0


We calculate terms in parentheses: -((+110x^2-590x+88x-472)), so:

(+110x^2-590x+88x-472)

We get rid of parentheses

110x^2-590x+88x-472

We add all the numbers together, and all the variables

110x^2-502x-472

Back to the equation:

-(110x^2-502x-472)


We get rid of parentheses

-110x^2+502x+472+180=0

We add all the numbers together, and all the variables

-110x^2+502x+652=0

a = -110; b = 502; c = +652;
Δ = b2-4ac
Δ = 5022-4·(-110)·652
Δ = 538884
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:

$\sqrt{\Delta}=\sqrt{538884}=\sqrt{36*14969}=\sqrt{36}*\sqrt{14969}=6\sqrt{14969}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(502)-6\sqrt{14969}}{2*-110}=\frac{-502-6\sqrt{14969}}{-220}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(502)+6\sqrt{14969}}{2*-110}=\frac{-502+6\sqrt{14969}}{-220}
$