x2-56x=-768

Solution for x2-56x=-768 equation:

x2-56x=-768

We move all terms to the left:

x2-56x-(-768)=0

We add all the numbers together, and all the variables

x^2-56x+768=0

a = 1; b = -56; c = +768;
Δ = b2-4ac
Δ = -562-4·1·768
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-8}{2*1}=\frac{48}{2}
=24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+8}{2*1}=\frac{64}{2}
=32
$