-12x^2+240x=0

Solution for -12x^2+240x=0 equation:

-12x^2+240x=0

a = -12; b = 240; c = 0;
Δ = b2-4ac
Δ = 2402-4·(-12)·0
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(240)-240}{2*-12}=\frac{-480}{-24}
=+20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(240)+240}{2*-12}=\frac{0}{-24}
=0
$