6(60x2)=5

Solution for 6(60x2)=5 equation:

6(60x^2)=5

We move all terms to the left:

6(60x^2)-(5)=0

a = 660; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·660·(-5)
Δ = 13200
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:

$\sqrt{\Delta}=\sqrt{13200}=\sqrt{400*33}=\sqrt{400}*\sqrt{33}=20\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{33}}{2*660}=\frac{0-20\sqrt{33}}{1320}
=-\frac{20\sqrt{33}}{1320}
=-\frac{\sqrt{33}}{66}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{33}}{2*660}=\frac{0+20\sqrt{33}}{1320}
=\frac{20\sqrt{33}}{1320}
=\frac{\sqrt{33}}{66}
$