1/10m=1/11m+1100

Solution for 1/10m=1/11m+1100 equation:

1/10m=1/11m+1100

We move all terms to the left:

1/10m-(1/11m+1100)=0


Domain of the equation: 10m!=0

m!=0/10

m!=0

m∈R



Domain of the equation: 11m+1100)!=0

m∈R


We get rid of parentheses

1/10m-1/11m-1100=0

We calculate fractions


11m/110m^2+(-10m)/110m^2-1100=0

We multiply all the terms by the denominator


11m+(-10m)-1100*110m^2=0

Wy multiply elements

-121000m^2+11m+(-10m)=0

We get rid of parentheses

-121000m^2+11m-10m=0

We add all the numbers together, and all the variables

-121000m^2+m=0

a = -121000; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-121000)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-121000}=\frac{-2}{-242000}
=1/121000
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-121000}=\frac{0}{-242000}
=0
$