35/m+7+14=2m

Solution for 35/m+7+14=2m equation:

35/m+7+14=2m

We move all terms to the left:

35/m+7+14-(2m)=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

-2m+35/m+21=0

We multiply all the terms by the denominator


-2m*m+21*m+35=0

We add all the numbers together, and all the variables

21m-2m*m+35=0

Wy multiply elements

-2m^2+21m+35=0

a = -2; b = 21; c = +35;
Δ = b2-4ac
Δ = 212-4·(-2)·35
Δ = 721
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{-(21)-\sqrt{721}}{2*-2}=\frac{-21-\sqrt{721}}{-4}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{721}}{2*-2}=\frac{-21+\sqrt{721}}{-4}
$