x(x+-1)=1056

Solution for x(x+-1)=1056 equation:

x(x+-1)=1056

We move all terms to the left:

x(x+-1)-(1056)=0

We add all the numbers together, and all the variables

x(x-1)-1056=0

We multiply parentheses

x^2-1x-1056=0

a = 1; b = -1; c = -1056;
Δ = b2-4ac
Δ = -12-4·1·(-1056)
Δ = 4225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4225}=65$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-65}{2*1}=\frac{-64}{2}
=-32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+65}{2*1}=\frac{66}{2}
=33
$