1/3m+2/5m=1100

Solution for 1/3m+2/5m=1100 equation:

1/3m+2/5m=1100

We move all terms to the left:

1/3m+2/5m-(1100)=0


Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R



Domain of the equation: 5m!=0

m!=0/5

m!=0

m∈R


We calculate fractions


5m/15m^2+6m/15m^2-1100=0

We multiply all the terms by the denominator


5m+6m-1100*15m^2=0

We add all the numbers together, and all the variables

11m-1100*15m^2=0

Wy multiply elements

-16500m^2+11m=0

a = -16500; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·(-16500)·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*-16500}=\frac{-22}{-33000}
=1/1500
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*-16500}=\frac{0}{-33000}
=0
$