x(x-3)=56

Solution for x(x-3)=56 equation:

x(x-3)=56

We move all terms to the left:

x(x-3)-(56)=0

We multiply parentheses

x^2-3x-56=0

a = 1; b = -3; c = -56;
Δ = b2-4ac
Δ = -32-4·1·(-56)
Δ = 233
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{233}}{2*1}=\frac{3-\sqrt{233}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{233}}{2*1}=\frac{3+\sqrt{233}}{2}
$