(X+25)(2x+20)=180

Solution for (X+25)(2x+20)=180 equation:

(X+25)(2X+20)=180

We move all terms to the left:

(X+25)(2X+20)-(180)=0

We multiply parentheses ..

(+2X^2+20X+50X+500)-180=0

We get rid of parentheses

2X^2+20X+50X+500-180=0

We add all the numbers together, and all the variables

2X^2+70X+320=0

a = 2; b = 70; c = +320;
Δ = b2-4ac
Δ = 702-4·2·320
Δ = 2340
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:

$\sqrt{\Delta}=\sqrt{2340}=\sqrt{36*65}=\sqrt{36}*\sqrt{65}=6\sqrt{65}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-6\sqrt{65}}{2*2}=\frac{-70-6\sqrt{65}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+6\sqrt{65}}{2*2}=\frac{-70+6\sqrt{65}}{4}
$