x=6x(-x)-6x(2)

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

x=6x(-x)-6x(2)

We move all terms to the left:

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

We add all the numbers together, and all the variables

x-(6x(-1x)-6x2)=0


We calculate terms in parentheses: -(6x(-1x)-6x2), so:

6x(-1x)-6x2

We add all the numbers together, and all the variables

-6x^2+6x(-1x)

We multiply parentheses

-6x^2-6x^2

We add all the numbers together, and all the variables

-12x^2

Back to the equation:

-(-12x^2)


We get rid of parentheses

12x^2+x=0

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

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