210x=60x^2

Solution for 210x=60x^2 equation:

210x=60x^2

We move all terms to the left:

210x-(60x^2)=0

determiningTheFunctionDomain
-60x^2+210x=0

a = -60; b = 210; c = 0;
Δ = b2-4ac
Δ = 2102-4·(-60)·0
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(210)-210}{2*-60}=\frac{-420}{-120}
=3+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(210)+210}{2*-60}=\frac{0}{-120}
=0
$