X(x+20)=2816

Solution for X(x+20)=2816 equation:

X(X+20)=2816

We move all terms to the left:

X(X+20)-(2816)=0

We multiply parentheses

X^2+20X-2816=0

a = 1; b = 20; c = -2816;
Δ = b2-4ac
Δ = 202-4·1·(-2816)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-108}{2*1}=\frac{-128}{2}
=-64
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+108}{2*1}=\frac{88}{2}
=44
$