3x(x+20)-44=180

Solution for 3x(x+20)-44=180 equation:

3x(x+20)-44=180

We move all terms to the left:

3x(x+20)-44-(180)=0

We add all the numbers together, and all the variables

3x(x+20)-224=0

We multiply parentheses

3x^2+60x-224=0

a = 3; b = 60; c = -224;
Δ = b2-4ac
Δ = 602-4·3·(-224)
Δ = 6288
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:

$\sqrt{\Delta}=\sqrt{6288}=\sqrt{16*393}=\sqrt{16}*\sqrt{393}=4\sqrt{393}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-4\sqrt{393}}{2*3}=\frac{-60-4\sqrt{393}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+4\sqrt{393}}{2*3}=\frac{-60+4\sqrt{393}}{6}
$