-2x(8x+2)=-16x+2

Solution for -2x(8x+2)=-16x+2 equation:

-2x(8x+2)=-16x+2

We move all terms to the left:

-2x(8x+2)-(-16x+2)=0

We multiply parentheses

-16x^2-4x-(-16x+2)=0

We get rid of parentheses

-16x^2-4x+16x-2=0

We add all the numbers together, and all the variables

-16x^2+12x-2=0

a = -16; b = 12; c = -2;
Δ = b2-4ac
Δ = 122-4·(-16)·(-2)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-4}{2*-16}=\frac{-16}{-32}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+4}{2*-16}=\frac{-8}{-32}
=1/4
$