50x*x=x

Solution for 50x*x=x equation:

50x*x=x

We move all terms to the left:

50x*x-(x)=0

We add all the numbers together, and all the variables

-1x+50x*x=0

Wy multiply elements

50x^2-1x=0

a = 50; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·50·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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