12x^2-60x=2x

Solution for 12x^2-60x=2x equation:

12x^2-60x=2x

We move all terms to the left:

12x^2-60x-(2x)=0

We add all the numbers together, and all the variables

12x^2-62x=0

a = 12; b = -62; c = 0;
Δ = b2-4ac
Δ = -622-4·12·0
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-62)-62}{2*12}=\frac{0}{24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-62)+62}{2*12}=\frac{124}{24}
=5+1/6
$