-2x(x-30)=-6x

Solution for -2x(x-30)=-6x equation:

-2x(x-30)=-6x

We move all terms to the left:

-2x(x-30)-(-6x)=0

We multiply parentheses

-2x^2+60x-(-6x)=0

We get rid of parentheses

-2x^2+60x+6x=0

We add all the numbers together, and all the variables

-2x^2+66x=0

a = -2; b = 66; c = 0;
Δ = b2-4ac
Δ = 662-4·(-2)·0
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-66}{2*-2}=\frac{-132}{-4}
=+33
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+66}{2*-2}=\frac{0}{-4}
=0
$