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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

-2x(-1x+4)-3x+2-(-5)=0

We add all the numbers together, and all the variables

-3x-2x(-1x+4)+7=0

We multiply parentheses

2x^2-3x-8x+7=0

We add all the numbers together, and all the variables

2x^2-11x+7=0

a = 2; b = -11; c = +7;
Δ = b2-4ac
Δ = -112-4·2·7
Δ = 65
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{65}}{2*2}=\frac{11-\sqrt{65}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{65}}{2*2}=\frac{11+\sqrt{65}}{4}
$