6x(2-4x)=0

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

6x(2-4x)=0

We add all the numbers together, and all the variables

6x(-4x+2)=0

We multiply parentheses

-24x^2+12x=0

a = -24; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-24)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-24}=\frac{-24}{-48}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-24}=\frac{0}{-48}
=0
$