(x+10)(3x+18)=180

Solution for (x+10)(3x+18)=180 equation:

(x+10)(3x+18)=180

We move all terms to the left:

(x+10)(3x+18)-(180)=0

We multiply parentheses ..

(+3x^2+18x+30x+180)-180=0

We get rid of parentheses

3x^2+18x+30x+180-180=0

We add all the numbers together, and all the variables

3x^2+48x=0

a = 3; b = 48; c = 0;
Δ = b2-4ac
Δ = 482-4·3·0
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-48}{2*3}=\frac{-96}{6}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+48}{2*3}=\frac{0}{6}
=0
$