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4/7m=18-2/1m
We move all terms to the left:
4/7m-(18-2/1m)=0
Domain of the equation: 7m!=0
m!=0/7
m!=0
m∈R
Domain of the equation: 1m)!=0We add all the numbers together, and all the variables
m!=0/1
m!=0
m∈R
4/7m-(-2/1m+18)=0
We get rid of parentheses
4/7m+2/1m-18=0
We calculate fractions
4m/7m^2+14m/7m^2-18=0
We multiply all the terms by the denominator
4m+14m-18*7m^2=0
We add all the numbers together, and all the variables
18m-18*7m^2=0
Wy multiply elements
-126m^2+18m=0
a = -126; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·(-126)·0
Δ = 324
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{324}=18$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*-126}=\frac{-36}{-252} =1/7 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*-126}=\frac{0}{-252} =0 $
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