30*30+40*40=x*x

Solution for 30*30+40*40=x*x equation:

30*30+40*40=x*x

We move all terms to the left:

30*30+40*40-(x*x)=0

We add all the numbers together, and all the variables

-(+x*x)+30*30+40*40=0

We add all the numbers together, and all the variables

-(+x*x)+2500=0

We get rid of parentheses

-x*x+2500=0

Wy multiply elements

-1x^2+2500=0

a = -1; b = 0; c = +2500;
Δ = b2-4ac
Δ = 02-4·(-1)·2500
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*-1}=\frac{-100}{-2}
=+50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*-1}=\frac{100}{-2}
=-50
$