44=x^2-7x

Solution for 44=x^2-7x equation:

44=x^2-7x

We move all terms to the left:

44-(x^2-7x)=0

We get rid of parentheses

-x^2+7x+44=0

We add all the numbers together, and all the variables

-1x^2+7x+44=0

a = -1; b = 7; c = +44;
Δ = b2-4ac
Δ = 72-4·(-1)·44
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-15}{2*-1}=\frac{-22}{-2}
=+11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+15}{2*-1}=\frac{8}{-2}
=-4
$