60x^2-x=60

Solution for 60x^2-x=60 equation:

60x^2-x=60

We move all terms to the left:

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

We add all the numbers together, and all the variables

60x^2-1x-60=0

a = 60; b = -1; c = -60;
Δ = b2-4ac
Δ = -12-4·60·(-60)
Δ = 14401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{14401}}{2*60}=\frac{1-\sqrt{14401}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{14401}}{2*60}=\frac{1+\sqrt{14401}}{120}
$