-60x=6x^2

Solution for -60x=6x^2 equation:

-60x=6x^2

We move all terms to the left:

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

determiningTheFunctionDomain
-6x^2-60x=0

a = -6; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·(-6)·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60}{2*-6}=\frac{0}{-12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*-6}=\frac{120}{-12}
=-10
$