11/2m-26/3m-109/6=86

Solution for 11/2m-26/3m-109/6=86 equation:

11/2m-26/3m-109/6=86

We move all terms to the left:

11/2m-26/3m-109/6-(86)=0


Domain of the equation: 2m!=0

m!=0/2

m!=0

m∈R



Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R


determiningTheFunctionDomain
11/2m-26/3m-86-109/6=0

We calculate fractions


(-1962m^2)/216m^2+1188m/216m^2+(-1872m)/216m^2-86=0

We multiply all the terms by the denominator


(-1962m^2)+1188m+(-1872m)-86*216m^2=0

Wy multiply elements

(-1962m^2)-18576m^2+1188m+(-1872m)=0

We get rid of parentheses

-1962m^2-18576m^2+1188m-1872m=0

We add all the numbers together, and all the variables

-20538m^2-684m=0

a = -20538; b = -684; c = 0;
Δ = b2-4ac
Δ = -6842-4·(-20538)·0
Δ = 467856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{467856}=684$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-684)-684}{2*-20538}=\frac{0}{-41076}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-684)+684}{2*-20538}=\frac{1368}{-41076}
=-38/1141
$