3/2y=16/(y+2)

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Solution for 3/2y=16/(y+2) equation:


D( y )

y+2 = 0

y+2 = 0

y+2 = 0

y+2 = 0 // - 2

y = -2

y in (-oo:-2) U (-2:+oo)

(3/2)*y = 16/(y+2) // - 16/(y+2)

(3/2)*y-(16/(y+2)) = 0

(3/2)*y-16*(y+2)^-1 = 0

(3*y)/2-16/(y+2) = 0

(-16*2)/(2*(y+2))+(3*y*(y+2))/(2*(y+2)) = 0

3*y*(y+2)-16*2 = 0

3*y^2+6*y-32 = 0

3*y^2+6*y-32 = 0

3*y^2+6*y-32 = 0

DELTA = 6^2-(-32*3*4)

DELTA = 420

DELTA > 0

y = (420^(1/2)-6)/(2*3) or y = (-420^(1/2)-6)/(2*3)

y = (2*105^(1/2)-6)/6 or y = (-2*105^(1/2)-6)/6

(y-((-2*105^(1/2)-6)/6))*(y-((2*105^(1/2)-6)/6)) = 0

((y-((-2*105^(1/2)-6)/6))*(y-((2*105^(1/2)-6)/6)))/(2*(y+2)) = 0

((y-((-2*105^(1/2)-6)/6))*(y-((2*105^(1/2)-6)/6)))/(2*(y+2)) = 0 // * 2*(y+2)

(y-((-2*105^(1/2)-6)/6))*(y-((2*105^(1/2)-6)/6)) = 0

( y-((-2*105^(1/2)-6)/6) )

y-((-2*105^(1/2)-6)/6) = 0 // + (-2*105^(1/2)-6)/6

y = (-2*105^(1/2)-6)/6

( y-((2*105^(1/2)-6)/6) )

y-((2*105^(1/2)-6)/6) = 0 // + (2*105^(1/2)-6)/6

y = (2*105^(1/2)-6)/6

y in { (-2*105^(1/2)-6)/6, (2*105^(1/2)-6)/6 }

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