-4x(x-5)=-44

Solution for -4x(x-5)=-44 equation:

-4x(x-5)=-44

We move all terms to the left:

-4x(x-5)-(-44)=0

We add all the numbers together, and all the variables

-4x(x-5)+44=0

We multiply parentheses

-4x^2+20x+44=0

a = -4; b = 20; c = +44;
Δ = b2-4ac
Δ = 202-4·(-4)·44
Δ = 1104
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:

$\sqrt{\Delta}=\sqrt{1104}=\sqrt{16*69}=\sqrt{16}*\sqrt{69}=4\sqrt{69}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-4\sqrt{69}}{2*-4}=\frac{-20-4\sqrt{69}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+4\sqrt{69}}{2*-4}=\frac{-20+4\sqrt{69}}{-8}
$