0=4x(3x-6)

Solution for 0=4x(3x-6) equation:

0=4x(3x-6)

We move all terms to the left:

0-(4x(3x-6))=0

We add all the numbers together, and all the variables

-(4x(3x-6))=0


We calculate terms in parentheses: -(4x(3x-6)), so:

4x(3x-6)

We multiply parentheses

12x^2-24x

Back to the equation:

-(12x^2-24x)


We get rid of parentheses

-12x^2+24x=0

a = -12; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-12)·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*-12}=\frac{-48}{-24}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-12}=\frac{0}{-24}
=0
$