-2/3m=-12m

Solution for -2/3m=-12m equation:

-2/3m=-12m

We move all terms to the left:

-2/3m-(-12m)=0


Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R


We get rid of parentheses

-2/3m+12m=0

We multiply all the terms by the denominator


12m*3m-2=0

Wy multiply elements

36m^2-2=0

a = 36; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·36·(-2)
Δ = 288
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:

$\sqrt{\Delta}=\sqrt{288}=\sqrt{144*2}=\sqrt{144}*\sqrt{2}=12\sqrt{2}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{2}}{2*36}=\frac{0-12\sqrt{2}}{72}
=-\frac{12\sqrt{2}}{72}
=-\frac{\sqrt{2}}{6}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{2}}{2*36}=\frac{0+12\sqrt{2}}{72}
=\frac{12\sqrt{2}}{72}
=\frac{\sqrt{2}}{6}
$