7m/m-3+5m/3-m=0

Solution for 7m/m-3+5m/3-m=0 equation:

7m/m-3+5m/3-m=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

-1m+7m/m+5m/3-3=0

We calculate fractions


5m^2/3m-1m+21m/3m-3=0

We multiply all the terms by the denominator


5m^2-1m*3m+21m-3*3m=0

We add all the numbers together, and all the variables

5m^2+21m-1m*3m-3*3m=0

Wy multiply elements

5m^2-3m^2+21m-9m=0

We add all the numbers together, and all the variables

2m^2+12m=0

a = 2; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·2·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*2}=\frac{-24}{4}
=-6
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*2}=\frac{0}{4}
=0
$