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5/7m*2-6/7m=-13

We move all terms to the left:

5/7m*2-6/7m-(-13)=0

Domain of the equation: 7m*2!=0

m!=0/1

m!=0

m∈R

Domain of the equation: 7m!=0We add all the numbers together, and all the variables

m!=0/7

m!=0

m∈R

5/7m*2-6/7m+13=0

We calculate fractions

35m/686m^2+(-168m)/686m^2+13=0

We multiply all the terms by the denominator

35m+(-168m)+13*686m^2=0

Wy multiply elements

8918m^2+35m+(-168m)=0

We get rid of parentheses

8918m^2+35m-168m=0

We add all the numbers together, and all the variables

8918m^2-133m=0

a = 8918; b = -133; c = 0;

Δ = b^{2}-4ac

Δ = -133^{2}-4·8918·0

Δ = 17689

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{17689}=133$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-133)-133}{2*8918}=\frac{0}{17836} =0 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-133)+133}{2*8918}=\frac{266}{17836} =19/1274 $

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