-4x*4*6=3x(-x)(-2)

Solution for -4x*4*6=3x(-x)(-2) equation:

-4x*4*6=3x(-x)(-2)

We move all terms to the left:

-4x*4*6-(3x(-x)(-2))=0

We add all the numbers together, and all the variables

-4x*4*6-(3x(-1x)(-2))=0

Wy multiply elements

-96x*6-(3x(-1x)(-2))=0

We multiply parentheses ..

-96x*6-(3x(+2x))=0


We calculate terms in parentheses: -(3x(+2x)), so:

3x(+2x)

We multiply parentheses

6x^2

Back to the equation:

-(6x^2)


determiningTheFunctionDomain
-6x^2-96x*6=0

Wy multiply elements

-6x^2-576x=0

a = -6; b = -576; c = 0;
Δ = b2-4ac
Δ = -5762-4·(-6)·0
Δ = 331776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{331776}=576$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-576)-576}{2*-6}=\frac{0}{-12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-576)+576}{2*-6}=\frac{1152}{-12}
=-96
$