27m2=L(9m)

Solution for 27m2=L(9m) equation:

27m^2=(9m)

We move all terms to the left:

27m^2-((9m))=0

determiningTheFunctionDomain
27m^2-9m=0

a = 27; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·27·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*27}=\frac{0}{54}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*27}=\frac{18}{54}
=1/3
$