4/2m=18-2/7m

Solution for 4/2m=18-2/7m equation:

4/2m=18-2/7m

We move all terms to the left:

4/2m-(18-2/7m)=0


Domain of the equation: 2m!=0

m!=0/2

m!=0

m∈R



Domain of the equation: 7m)!=0

m!=0/1

m!=0

m∈R


We add all the numbers together, and all the variables

4/2m-(-2/7m+18)=0

We get rid of parentheses

4/2m+2/7m-18=0

We calculate fractions


28m/14m^2+4m/14m^2-18=0

We multiply all the terms by the denominator


28m+4m-18*14m^2=0

We add all the numbers together, and all the variables

32m-18*14m^2=0

Wy multiply elements

-252m^2+32m=0

a = -252; b = 32; c = 0;
Δ = b2-4ac
Δ = 322-4·(-252)·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-32}{2*-252}=\frac{-64}{-504}
=8/63
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+32}{2*-252}=\frac{0}{-504}
=0
$