2x(-4x+2)=-5

Solution for 2x(-4x+2)=-5 equation:

2x(-4x+2)=-5

We move all terms to the left:

2x(-4x+2)-(-5)=0

We add all the numbers together, and all the variables

2x(-4x+2)+5=0

We multiply parentheses

-8x^2+4x+5=0

a = -8; b = 4; c = +5;
Δ = b2-4ac
Δ = 42-4·(-8)·5
Δ = 176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{176}=\sqrt{16*11}=\sqrt{16}*\sqrt{11}=4\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{11}}{2*-8}=\frac{-4-4\sqrt{11}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{11}}{2*-8}=\frac{-4+4\sqrt{11}}{-16}
$