5x*6x=60

Solution for 5x*6x=60 equation:

5x*6x=60

We move all terms to the left:

5x*6x-(60)=0

Wy multiply elements

30x^2-60=0

a = 30; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·30·(-60)
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*30}=\frac{0-60\sqrt{2}}{60}
=-\frac{60\sqrt{2}}{60}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*30}=\frac{0+60\sqrt{2}}{60}
=\frac{60\sqrt{2}}{60}
=\sqrt{2}
$