11/2m-26/3m-108/6=-86/6

Solution for 11/2m-26/3m-108/6=-86/6 equation:

11/2m-26/3m-108/6=-86/6

We move all terms to the left:

11/2m-26/3m-108/6-(-86/6)=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


We add all the numbers together, and all the variables

11/2m-26/3m-18-(-86/6)=0

We get rid of parentheses

11/2m-26/3m-18+86/6=0

We calculate fractions


1548m^2/216m^2+1188m/216m^2+(-1872m)/216m^2-18=0

We multiply all the terms by the denominator


1548m^2+1188m+(-1872m)-18*216m^2=0

Wy multiply elements

1548m^2-3888m^2+1188m+(-1872m)=0

We get rid of parentheses

1548m^2-3888m^2+1188m-1872m=0

We add all the numbers together, and all the variables

-2340m^2-684m=0

a = -2340; b = -684; c = 0;
Δ = b2-4ac
Δ = -6842-4·(-2340)·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*-2340}=\frac{0}{-4680}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-684)+684}{2*-2340}=\frac{1368}{-4680}
=-19/65
$