-4.4-x(x-4)=3.8x-5.1

Solution for -4.4-x(x-4)=3.8x-5.1 equation:

-4.4-x(x-4)=3.8x-5.1

We move all terms to the left:

-4.4-x(x-4)-(3.8x-5.1)=0

We multiply parentheses

-x^2+4x-(3.8x-5.1)-4.4=0

We get rid of parentheses

-x^2+4x-3.8x+5.1-4.4=0

We add all the numbers together, and all the variables

-1x^2+0.2x+0.7=0

a = -1; b = 0.2; c = +0.7;
Δ = b2-4ac
Δ = 0.22-4·(-1)·0.7
Δ = 2.84
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{-(0.2)-\sqrt{2.84}}{2*-1}=\frac{-0.2-\sqrt{2.84}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.2)+\sqrt{2.84}}{2*-1}=\frac{-0.2+\sqrt{2.84}}{-2}
$