6x(x+6)=240

Solution for 6x(x+6)=240 equation:

6x(x+6)=240

We move all terms to the left:

6x(x+6)-(240)=0

We multiply parentheses

6x^2+36x-240=0

a = 6; b = 36; c = -240;
Δ = b2-4ac
Δ = 362-4·6·(-240)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-84}{2*6}=\frac{-120}{12}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+84}{2*6}=\frac{48}{12}
=4
$