9m^2-27m=-2

Solution for 9m^2-27m=-2 equation:

9m^2-27m=-2

We move all terms to the left:

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

We add all the numbers together, and all the variables

9m^2-27m+2=0

a = 9; b = -27; c = +2;
Δ = b2-4ac
Δ = -272-4·9·2
Δ = 657
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{657}=\sqrt{9*73}=\sqrt{9}*\sqrt{73}=3\sqrt{73}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-3\sqrt{73}}{2*9}=\frac{27-3\sqrt{73}}{18}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+3\sqrt{73}}{2*9}=\frac{27+3\sqrt{73}}{18}
$