(-3)/(y+5)=-(7)/(4y+20)+2

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Solution for (-3)/(y+5)=-(7)/(4y+20)+2 equation:


D( y )

4*y+20 = 0

y+5 = 0

4*y+20 = 0

4*y+20 = 0

4*y+20 = 0 // - 20

4*y = -20 // : 4

y = -20/4

y = -5

y+5 = 0

y+5 = 0

y+5 = 0 // - 5

y = -5

y in (-oo:-5) U (-5:+oo)

-3/(y+5) = 2-(7/(4*y+20)) // - 2-(7/(4*y+20))

7/(4*y+20)-3/(y+5)-2 = 0

(-3*(4*y+20))/((y+5)*(4*y+20))+(7*(y+5))/((y+5)*(4*y+20))+(-2*(y+5)*(4*y+20))/((y+5)*(4*y+20)) = 0

7*(y+5)-3*(4*y+20)-2*(y+5)*(4*y+20) = 0

-8*y^2-5*y-80*y-200-25 = 0

-8*y^2-85*y-225 = 0

-8*y^2-85*y-225 = 0

-1*(8*y^2+85*y+225) = 0

8*y^2+85*y+225 = 0

DELTA = 85^2-(4*8*225)

DELTA = 25

DELTA > 0

y = (25^(1/2)-85)/(2*8) or y = (-25^(1/2)-85)/(2*8)

y = -5 or y = -45/8

-1*(y+45/8)*(y+5) = 0

(-1*(y+45/8)*(y+5))/((y+5)*(4*y+20)) = 0

(-1*(y+45/8)*(y+5))/((y+5)*(4*y+20)) = 0 // * (y+5)*(4*y+20)

-1*(y+45/8)*(y+5) = 0

( y+45/8 )

y+45/8 = 0 // - 45/8

y = -45/8

( y+5 )

y+5 = 0 // - 5

y = -5

y in { -5}

y = -45/8

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