-2(-2x+5)4x=-3

Solution for -2(-2x+5)4x=-3 equation:

-2(-2x+5)4x=-3

We move all terms to the left:

-2(-2x+5)4x-(-3)=0

We add all the numbers together, and all the variables

-2(-2x+5)4x+3=0

We multiply parentheses

16x^2-40x+3=0

a = 16; b = -40; c = +3;
Δ = b2-4ac
Δ = -402-4·16·3
Δ = 1408
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:

$\sqrt{\Delta}=\sqrt{1408}=\sqrt{64*22}=\sqrt{64}*\sqrt{22}=8\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-8\sqrt{22}}{2*16}=\frac{40-8\sqrt{22}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+8\sqrt{22}}{2*16}=\frac{40+8\sqrt{22}}{32}
$