10x*5x=2

Solution for 10x*5x=2 equation:

10x*5x=2

We move all terms to the left:

10x*5x-(2)=0

Wy multiply elements

50x^2-2=0

a = 50; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·50·(-2)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*50}=\frac{-20}{100}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*50}=\frac{20}{100}
=1/5
$