-2x^2+20x=44

Solution for -2x^2+20x=44 equation:

-2x^2+20x=44

We move all terms to the left:

-2x^2+20x-(44)=0

a = -2; b = 20; c = -44;
Δ = b2-4ac
Δ = 202-4·(-2)·(-44)
Δ = 48
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:

$\sqrt{\Delta}=\sqrt{48}=\sqrt{16*3}=\sqrt{16}*\sqrt{3}=4\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-4\sqrt{3}}{2*-2}=\frac{-20-4\sqrt{3}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+4\sqrt{3}}{2*-2}=\frac{-20+4\sqrt{3}}{-4}
$