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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

-6x(x-2)-(-6(-1x+2))=0

We multiply parentheses

-6x^2+12x-(-6(-1x+2))=0


We calculate terms in parentheses: -(-6(-1x+2)), so:

-6(-1x+2)

We multiply parentheses

6x-12

Back to the equation:

-(6x-12)


We get rid of parentheses

-6x^2+12x-6x+12=0

We add all the numbers together, and all the variables

-6x^2+6x+12=0

a = -6; b = 6; c = +12;
Δ = b2-4ac
Δ = 62-4·(-6)·12
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-18}{2*-6}=\frac{-24}{-12}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+18}{2*-6}=\frac{12}{-12}
=-1
$