3m+6/m=-9

Solution for 3m+6/m=-9 equation:

3m+6/m=-9

We move all terms to the left:

3m+6/m-(-9)=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

3m+6/m+9=0

We multiply all the terms by the denominator


3m*m+9*m+6=0

We add all the numbers together, and all the variables

9m+3m*m+6=0

Wy multiply elements

3m^2+9m+6=0

a = 3; b = 9; c = +6;
Δ = b2-4ac
Δ = 92-4·3·6
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-3}{2*3}=\frac{-12}{6}
=-2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+3}{2*3}=\frac{-6}{6}
=-1
$