(m-2)/(5m)-3/(2m)=5/4

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Solution for (m-2)/(5m)-3/(2m)=5/4 equation:


D( m )

5*m = 0

2*m = 0

5*m = 0

5*m = 0

5*m = 0 // : 5

m = 0

2*m = 0

2*m = 0

2*m = 0 // : 2

m = 0

m in (-oo:0) U (0:+oo)

(m-2)/(5*m)-(3/(2*m)) = 5/4 // - 5/4

(m-2)/(5*m)-(3/(2*m))-(5/4) = 0

(m-2)/(5*m)+(-3/2)*m^-1-5/4 = 0

(m-2)/(5*m)-3/(2*m)-5/4 = 0

(2*4*m*(m-2))/(2*4*5*m*m)+(-3*4*5*m)/(2*4*5*m*m)+(-5*2*5*m*m)/(2*4*5*m*m) = 0

2*4*m*(m-2)-5*2*5*m*m-3*4*5*m = 0

8*m^2-50*m^2-76*m = 0

-42*m^2-76*m = 0

-42*m^2-76*m = 0

-2*m*(21*m+38) = 0

21*m+38 = 0 // - 38

21*m = -38 // : 21

m = -38/21

-2*m*(m+38/21) = 0

(-2*m*(m+38/21))/(2*4*5*m*m) = 0

(-2*m*(m+38/21))/(2*4*5*m*m) = 0 // * 2*4*5*m*m

-2*m*(m+38/21) = 0

( -2*m )

-2*m = 0 // : -2

m = 0

( m+38/21 )

m+38/21 = 0 // - 38/21

m = -38/21

m in { 0}

m = -38/21

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