1/3m-2/7m=-1/28

Solution for 1/3m-2/7m=-1/28 equation:

1/3m-2/7m=-1/28

We move all terms to the left:

1/3m-2/7m-(-1/28)=0


Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R



Domain of the equation: 7m!=0

m!=0/7

m!=0

m∈R


We get rid of parentheses

1/3m-2/7m+1/28=0

We calculate fractions


147m^2/1176m^2+392m/1176m^2+(-336m)/1176m^2=0

We multiply all the terms by the denominator


147m^2+392m+(-336m)=0

We get rid of parentheses

147m^2+392m-336m=0

We add all the numbers together, and all the variables

147m^2+56m=0

a = 147; b = 56; c = 0;
Δ = b2-4ac
Δ = 562-4·147·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-56}{2*147}=\frac{-112}{294}
=-8/21
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+56}{2*147}=\frac{0}{294}
=0
$