(x+2)*x=575

Solution for (x+2)*x=575 equation:

(x+2)*x=575

We move all terms to the left:

(x+2)*x-(575)=0

We multiply parentheses

x^2+2x-575=0

a = 1; b = 2; c = -575;
Δ = b2-4ac
Δ = 22-4·1·(-575)
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{-(2)-48}{2*1}=\frac{-50}{2}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+48}{2*1}=\frac{46}{2}
=23
$