60(6x2)=5

Solution for 60(6x2)=5 equation:

60(6x^2)=5

We move all terms to the left:

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

a = 606; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·606·(-5)
Δ = 12120
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:

$\sqrt{\Delta}=\sqrt{12120}=\sqrt{4*3030}=\sqrt{4}*\sqrt{3030}=2\sqrt{3030}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{3030}}{2*606}=\frac{0-2\sqrt{3030}}{1212}
=-\frac{2\sqrt{3030}}{1212}
=-\frac{\sqrt{3030}}{606}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{3030}}{2*606}=\frac{0+2\sqrt{3030}}{1212}
=\frac{2\sqrt{3030}}{1212}
=\frac{\sqrt{3030}}{606}
$