x(x+-44)48=180

Solution for x(x+-44)48=180 equation:

x(x+-44)48=180

We move all terms to the left:

x(x+-44)48-(180)=0

We add all the numbers together, and all the variables

x(x-44)48-180=0

We multiply parentheses

48x^2-2112x-180=0

a = 48; b = -2112; c = -180;
Δ = b2-4ac
Δ = -21122-4·48·(-180)
Δ = 4495104
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:

$\sqrt{\Delta}=\sqrt{4495104}=\sqrt{2304*1951}=\sqrt{2304}*\sqrt{1951}=48\sqrt{1951}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2112)-48\sqrt{1951}}{2*48}=\frac{2112-48\sqrt{1951}}{96}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2112)+48\sqrt{1951}}{2*48}=\frac{2112+48\sqrt{1951}}{96}
$