7/3m+3=5m

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

7/3m+3=5m

We move all terms to the left:

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


Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R


We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

Wy multiply elements

-15m^2+9m+7=0

a = -15; b = 9; c = +7;
Δ = b2-4ac
Δ = 92-4·(-15)·7
Δ = 501
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{501}}{2*-15}=\frac{-9-\sqrt{501}}{-30}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{501}}{2*-15}=\frac{-9+\sqrt{501}}{-30}
$