(X+1)(x+2)=552

Solution for (X+1)(x+2)=552 equation:

(X+1)(X+2)=552

We move all terms to the left:

(X+1)(X+2)-(552)=0

We multiply parentheses ..

(+X^2+2X+X+2)-552=0

We get rid of parentheses

X^2+2X+X+2-552=0

We add all the numbers together, and all the variables

X^2+3X-550=0

a = 1; b = 3; c = -550;
Δ = b2-4ac
Δ = 32-4·1·(-550)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-47}{2*1}=\frac{-50}{2}
=-25
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+47}{2*1}=\frac{44}{2}
=22
$