3*((275+3y)/(3+32y))+32*y*((275+3y)/(3+32y))=275

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Solution for 3*((275+3y)/(3+32y))+32*y*((275+3y)/(3+32y))=275 equation:


D( y )

32*y+3 = 0

32*y+3 = 0

32*y+3 = 0

32*y+3 = 0 // - 3

32*y = -3 // : 32

y = -3/32

y in (-oo:-3/32) U (-3/32:+oo)

3*((3*y+275)/(32*y+3))+32*y*((3*y+275)/(32*y+3)) = 275 // - 275

3*((3*y+275)/(32*y+3))+32*y*((3*y+275)/(32*y+3))-275 = 0

(3*(3*y+275))/(32*y+3)+(32*y*(3*y+275))/(32*y+3)-275 = 0

(3*(3*y+275))/(32*y+3)+(32*y*(3*y+275))/(32*y+3)+(-275*(32*y+3))/(32*y+3) = 0

3*(3*y+275)+32*y*(3*y+275)-275*(32*y+3) = 0

96*y^2+8809*y-8800*y-825+825 = 0

96*y^2+9*y = 0

96*y^2+9*y = 0

3*y*(32*y+3) = 0

32*y+3 = 0 // - 3

32*y = -3 // : 32

y = -3/32

3*y*(y+3/32) = 0

(3*y*(y+3/32))/(32*y+3) = 0

(3*y*(y+3/32))/(32*y+3) = 0 // * 32*y+3

3*y*(y+3/32) = 0

( 3*y )

3*y = 0 // : 3

y = 0

( y+3/32 )

y+3/32 = 0 // - 3/32

y = -3/32

y in { -3/32}

y = 0

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