x(x-24)=945

Solution for x(x-24)=945 equation:

x(x-24)=945

We move all terms to the left:

x(x-24)-(945)=0

We multiply parentheses

x^2-24x-945=0

a = 1; b = -24; c = -945;
Δ = b2-4ac
Δ = -242-4·1·(-945)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-66}{2*1}=\frac{-42}{2}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+66}{2*1}=\frac{90}{2}
=45
$