3x(x-1)=56

Solution for 3x(x-1)=56 equation:

3x(x-1)=56

We move all terms to the left:

3x(x-1)-(56)=0

We multiply parentheses

3x^2-3x-56=0

a = 3; b = -3; c = -56;
Δ = b2-4ac
Δ = -32-4·3·(-56)
Δ = 681
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{681}}{2*3}=\frac{3-\sqrt{681}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{681}}{2*3}=\frac{3+\sqrt{681}}{6}
$