5x*5x=60

Solution for 5x*5x=60 equation:

5x*5x=60

We move all terms to the left:

5x*5x-(60)=0

Wy multiply elements

25x^2-60=0

a = 25; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·25·(-60)
Δ = 6000
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:

$\sqrt{\Delta}=\sqrt{6000}=\sqrt{400*15}=\sqrt{400}*\sqrt{15}=20\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{15}}{2*25}=\frac{0-20\sqrt{15}}{50}
=-\frac{20\sqrt{15}}{50}
=-\frac{2\sqrt{15}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{15}}{2*25}=\frac{0+20\sqrt{15}}{50}
=\frac{20\sqrt{15}}{50}
=\frac{2\sqrt{15}}{5}
$