x(x+102)=2440

Solution for x(x+102)=2440 equation:

x(x+102)=2440

We move all terms to the left:

x(x+102)-(2440)=0

We multiply parentheses

x^2+102x-2440=0

a = 1; b = 102; c = -2440;
Δ = b2-4ac
Δ = 1022-4·1·(-2440)
Δ = 20164
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20164}=142$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(102)-142}{2*1}=\frac{-244}{2}
=-122
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(102)+142}{2*1}=\frac{40}{2}
=20
$