(1/d)-(1/5d)=(1/10)

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Solution for (1/d)-(1/5d)=(1/10) equation: 


D( d )

d = 0

d = 0

d = 0

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

1/d-((1/5)*d) = 1/10 // - 1/10

1/d-((1/5)*d)-(1/10) = 0

(-1/5)*d+1/d-1/10 = 0

1*d^-1-1/5*d^1-1/10*d^0 = 0

(1*d^0-1/5*d^2-1/10*d^1)/(d^1) = 0 // * d^2

d^1*(1*d^0-1/5*d^2-1/10*d^1) = 0

d^1

(-1/5)*d^2+(-1/10)*d+1 = 0

(-1/5)*d^2+(-1/10)*d+1 = 0

DELTA = (-1/10)^2-(1*4*(-1/5))

DELTA = 81/100

DELTA > 0

d = ((81/100)^(1/2)-(-1/10))/(2*(-1/5)) or d = (-(-1/10)-(81/100)^(1/2))/(2*(-1/5))

d = -5/2 or d = 2

d in { -5/2, 2} 

d in { -5/2, 2 }

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