2x^2-4x(-6)=0

Solution for 2x^2-4x(-6)=0 equation:

2x^2-4x(-6)=0

We multiply parentheses

2x^2+24x=0

a = 2; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·2·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*2}=\frac{-48}{4}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*2}=\frac{0}{4}
=0
$