5x*25x=300

Solution for 5x*25x=300 equation:

5x*25x=300

We move all terms to the left:

5x*25x-(300)=0

Wy multiply elements

125x^2-300=0

a = 125; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·125·(-300)
Δ = 150000
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:

$\sqrt{\Delta}=\sqrt{150000}=\sqrt{10000*15}=\sqrt{10000}*\sqrt{15}=100\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{15}}{2*125}=\frac{0-100\sqrt{15}}{250}
=-\frac{100\sqrt{15}}{250}
=-\frac{2\sqrt{15}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{15}}{2*125}=\frac{0+100\sqrt{15}}{250}
=\frac{100\sqrt{15}}{250}
=\frac{2\sqrt{15}}{5}
$