x(x+32)=528

Solution for x(x+32)=528 equation:

x(x+32)=528

We move all terms to the left:

x(x+32)-(528)=0

We multiply parentheses

x^2+32x-528=0

a = 1; b = 32; c = -528;
Δ = b2-4ac
Δ = 322-4·1·(-528)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-56}{2*1}=\frac{-88}{2}
=-44
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+56}{2*1}=\frac{24}{2}
=12
$