x(-2x)=6x-

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

x(-2x)=6x-

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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

We get rid of parentheses

-2x^2-6x=0

a = -2; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-2)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-2}=\frac{0}{-4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-2}=\frac{12}{-4}
=-3
$