(x-1)(x+11)=360

Solution for (x-1)(x+11)=360 equation:

(x-1)(x+11)=360

We move all terms to the left:

(x-1)(x+11)-(360)=0

We multiply parentheses ..

(+x^2+11x-1x-11)-360=0

We get rid of parentheses

x^2+11x-1x-11-360=0

We add all the numbers together, and all the variables

x^2+10x-371=0

a = 1; b = 10; c = -371;
Δ = b2-4ac
Δ = 102-4·1·(-371)
Δ = 1584
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:

$\sqrt{\Delta}=\sqrt{1584}=\sqrt{144*11}=\sqrt{144}*\sqrt{11}=12\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-12\sqrt{11}}{2*1}=\frac{-10-12\sqrt{11}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+12\sqrt{11}}{2*1}=\frac{-10+12\sqrt{11}}{2}
$