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3/4m-7/5m=-1/5m+4
We move all terms to the left:
3/4m-7/5m-(-1/5m+4)=0
Domain of the equation: 4m!=0
m!=0/4
m!=0
m∈R
Domain of the equation: 5m!=0
m!=0/5
m!=0
m∈R
Domain of the equation: 5m+4)!=0We get rid of parentheses
m∈R
3/4m-7/5m+1/5m-4=0
We calculate fractions
15m/20m^2+(4m-7)/20m^2-4=0
We multiply all the terms by the denominator
15m+(4m-7)-4*20m^2=0
Wy multiply elements
-80m^2+15m+(4m-7)=0
We get rid of parentheses
-80m^2+15m+4m-7=0
We add all the numbers together, and all the variables
-80m^2+19m-7=0
a = -80; b = 19; c = -7;
Δ = b2-4ac
Δ = 192-4·(-80)·(-7)
Δ = -1879
Delta is less than zero, so there is no solution for the equation
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