18x=6x2

Solution for 18x=6x2 equation:

18x=6x^2

We move all terms to the left:

18x-(6x^2)=0

determiningTheFunctionDomain
-6x^2+18x=0

a = -6; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·(-6)·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*-6}=\frac{-36}{-12}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*-6}=\frac{0}{-12}
=0
$