127*60*x=180

Solution for 127*60*x=180 equation:

127*60*x=180

We move all terms to the left:

127*60*x-(180)=0

Wy multiply elements

7620x*x-180=0

Wy multiply elements

7620x^2-180=0

a = 7620; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·7620·(-180)
Δ = 5486400
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:

$\sqrt{\Delta}=\sqrt{5486400}=\sqrt{14400*381}=\sqrt{14400}*\sqrt{381}=120\sqrt{381}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{381}}{2*7620}=\frac{0-120\sqrt{381}}{15240}
=-\frac{120\sqrt{381}}{15240}
=-\frac{\sqrt{381}}{127}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{381}}{2*7620}=\frac{0+120\sqrt{381}}{15240}
=\frac{120\sqrt{381}}{15240}
=\frac{\sqrt{381}}{127}
$