44*44=39*39+x*x

Solution for 44*44=39*39+x*x equation:

44*44=39*39+x*x

We move all terms to the left:

44*44-(39*39+x*x)=0

We add all the numbers together, and all the variables

-(x*x+1521)+44*44=0

We add all the numbers together, and all the variables

-(x*x+1521)+1936=0

We get rid of parentheses

-x*x-1521+1936=0

We add all the numbers together, and all the variables

-x*x+415=0

Wy multiply elements

-1x^2+415=0

a = -1; b = 0; c = +415;
Δ = b2-4ac
Δ = 02-4·(-1)·415
Δ = 1660
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:

$\sqrt{\Delta}=\sqrt{1660}=\sqrt{4*415}=\sqrt{4}*\sqrt{415}=2\sqrt{415}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{415}}{2*-1}=\frac{0-2\sqrt{415}}{-2}
=-\frac{2\sqrt{415}}{-2}
=-\frac{\sqrt{415}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{415}}{2*-1}=\frac{0+2\sqrt{415}}{-2}
=\frac{2\sqrt{415}}{-2}
=\frac{\sqrt{415}}{-1}
$