X(x+6)-1360=0

Solution for X(x+6)-1360=0 equation:

X(X+6)-1360=0

We multiply parentheses

X^2+6X-1360=0

a = 1; b = 6; c = -1360;
Δ = b2-4ac
Δ = 62-4·1·(-1360)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-74}{2*1}=\frac{-80}{2}
=-40
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+74}{2*1}=\frac{68}{2}
=34
$