6m2=+6m-9m2

Solution for 6m2=+6m-9m2 equation:

6m^2=+6m-9m^2

We move all terms to the left:

6m^2-(+6m-9m^2)=0

We get rid of parentheses

6m^2+9m^2-6m=0

We add all the numbers together, and all the variables

15m^2-6m=0

a = 15; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·15·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*15}=\frac{0}{30}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*15}=\frac{12}{30}
=2/5
$