x(x-14)=5880

Solution for x(x-14)=5880 equation:

x(x-14)=5880

We move all terms to the left:

x(x-14)-(5880)=0

We multiply parentheses

x^2-14x-5880=0

a = 1; b = -14; c = -5880;
Δ = b2-4ac
Δ = -142-4·1·(-5880)
Δ = 23716
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23716}=154$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-154}{2*1}=\frac{-140}{2}
=-70
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+154}{2*1}=\frac{168}{2}
=84
$