x(x+2)=675

Solution for x(x+2)=675 equation:

x(x+2)=675

We move all terms to the left:

x(x+2)-(675)=0

We multiply parentheses

x^2+2x-675=0

a = 1; b = 2; c = -675;
Δ = b2-4ac
Δ = 22-4·1·(-675)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-52}{2*1}=\frac{-54}{2}
=-27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+52}{2*1}=\frac{50}{2}
=25
$