(m-6)/2m=5/4

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Solution for (m-6)/2m=5/4 equation: 


m in (-oo:+oo)

m*((m-6)/2) = 5/4 // - 5/4

m*((m-6)/2)-(5/4) = 0

m*((m-6)/2)-5/4 = 0

(m*(m-6))/2-5/4 = 0

(4*m*(m-6))/(2*4)+(-5*2)/(2*4) = 0

4*m*(m-6)-5*2 = 0

4*m^2-24*m-10 = 0

4*m^2-24*m-10 = 0

2*(2*m^2-12*m-5) = 0

2*m^2-12*m-5 = 0

DELTA = (-12)^2-(-5*2*4)

DELTA = 184

DELTA > 0

m = (184^(1/2)+12)/(2*2) or m = (12-184^(1/2))/(2*2)

m = (2*46^(1/2)+12)/4 or m = (12-2*46^(1/2))/4

2*(m-((12-2*46^(1/2))/4))*(m-((2*46^(1/2)+12)/4)) = 0

(2*(m-((12-2*46^(1/2))/4))*(m-((2*46^(1/2)+12)/4)))/(2*4) = 0

(2*(m-((12-2*46^(1/2))/4))*(m-((2*46^(1/2)+12)/4)))/(2*4) = 0 // * 2*4

2*(m-((12-2*46^(1/2))/4))*(m-((2*46^(1/2)+12)/4)) = 0

( 2 )

2 = 0

m belongs to the empty set

( m-((12-2*46^(1/2))/4) )

m-((12-2*46^(1/2))/4) = 0 // + (12-2*46^(1/2))/4

m = (12-2*46^(1/2))/4

( m-((2*46^(1/2)+12)/4) )

m-((2*46^(1/2)+12)/4) = 0 // + (2*46^(1/2)+12)/4

m = (2*46^(1/2)+12)/4

m in { (12-2*46^(1/2))/4, (2*46^(1/2)+12)/4 }

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