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

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


D( y )

2*y-3 = 0

2*y-3 = 0

2*y-3 = 0

2*y-3 = 0 // + 3

2*y = 3 // : 2

y = 3/2

y in (-oo:3/2) U (3/2:+oo)

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

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

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

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

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

133*y-42*y^2-101 = 0

133*y-42*y^2-101 = 0

133*y-42*y^2-101 = 0

DELTA = 133^2-(-101*(-42)*4)

DELTA = 721

DELTA > 0

y = (721^(1/2)-133)/(-42*2) or y = (-721^(1/2)-133)/(-42*2)

y = (721^(1/2)-133)/(-84) or y = (721^(1/2)+133)/84

(y-((721^(1/2)-133)/(-84)))*(y-((721^(1/2)+133)/84)) = 0

((y-((721^(1/2)-133)/(-84)))*(y-((721^(1/2)+133)/84)))/(2*y-3) = 0

((y-((721^(1/2)-133)/(-84)))*(y-((721^(1/2)+133)/84)))/(2*y-3) = 0 // * 2*y-3

(y-((721^(1/2)-133)/(-84)))*(y-((721^(1/2)+133)/84)) = 0

( y-((721^(1/2)+133)/84) )

y-((721^(1/2)+133)/84) = 0 // + (721^(1/2)+133)/84

y = (721^(1/2)+133)/84

( y-((721^(1/2)-133)/(-84)) )

y-((721^(1/2)-133)/(-84)) = 0 // + (721^(1/2)-133)/(-84)

y = (721^(1/2)-133)/(-84)

y in { (721^(1/2)+133)/84, (721^(1/2)-133)/(-84) }

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