50*50=30*30+x*x

Solution for 50*50=30*30+x*x equation:

50*50=30*30+x*x

We move all terms to the left:

50*50-(30*30+x*x)=0

We add all the numbers together, and all the variables

-(x*x+900)+50*50=0

We add all the numbers together, and all the variables

-(x*x+900)+2500=0

We get rid of parentheses

-x*x-900+2500=0

We add all the numbers together, and all the variables

-x*x+1600=0

Wy multiply elements

-1x^2+1600=0

a = -1; b = 0; c = +1600;
Δ = b2-4ac
Δ = 02-4·(-1)·1600
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*-1}=\frac{-80}{-2}
=+40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*-1}=\frac{80}{-2}
=-40
$