8x*25x=2.81

Solution for 8x*25x=2.81 equation:

8x*25x=2.81

We move all terms to the left:

8x*25x-(2.81)=0

We add all the numbers together, and all the variables

8x*25x-2.81=0

Wy multiply elements

200x^2-2.81=0

a = 200; b = 0; c = -2.81;
Δ = b2-4ac
Δ = 02-4·200·(-2.81)
Δ = 2248
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:

$\sqrt{\Delta}=\sqrt{2248}=\sqrt{4*562}=\sqrt{4}*\sqrt{562}=2\sqrt{562}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{562}}{2*200}=\frac{0-2\sqrt{562}}{400}
=-\frac{2\sqrt{562}}{400}
=-\frac{\sqrt{562}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{562}}{2*200}=\frac{0+2\sqrt{562}}{400}
=\frac{2\sqrt{562}}{400}
=\frac{\sqrt{562}}{200}
$