7/(y+5)=(-7/2y+10)+2

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Solution for 7/(y+5)=(-7/2y+10)+2 equation:


D( y )

y+5 = 0

y+5 = 0

y+5 = 0

y+5 = 0 // - 5

y = -5

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

7/(y+5) = (-7/2)*y+2+10 // - (-7/2)*y+2+10

7/(y+5)-((-7/2)*y)-10-2 = 0

7/(y+5)+(7/2)*y-10-2 = 0

7/(y+5)+(7*y)/2-10-2 = 0

(2*7)/(2*(y+5))+(7*y*(y+5))/(2*(y+5))+(-10*2*(y+5))/(2*(y+5))+(-2*2*(y+5))/(2*(y+5)) = 0

7*y*(y+5)-10*2*(y+5)-2*2*(y+5)+2*7 = 0

7*y^2+35*y-20*y-4*y-100-20+14 = 0

7*y^2+15*y-4*y-86-20 = 0

7*y^2+11*y-106 = 0

7*y^2+11*y-106 = 0

7*y^2+11*y-106 = 0

DELTA = 11^2-(-106*4*7)

DELTA = 3089

DELTA > 0

y = (3089^(1/2)-11)/(2*7) or y = (-3089^(1/2)-11)/(2*7)

y = (3089^(1/2)-11)/14 or y = (-(3089^(1/2)+11))/14

(y+(3089^(1/2)+11)/14)*(y-((3089^(1/2)-11)/14)) = 0

((y+(3089^(1/2)+11)/14)*(y-((3089^(1/2)-11)/14)))/(2*(y+5)) = 0

((y+(3089^(1/2)+11)/14)*(y-((3089^(1/2)-11)/14)))/(2*(y+5)) = 0 // * 2*(y+5)

(y+(3089^(1/2)+11)/14)*(y-((3089^(1/2)-11)/14)) = 0

( y+(3089^(1/2)+11)/14 )

y+(3089^(1/2)+11)/14 = 0 // - (3089^(1/2)+11)/14

y = -((3089^(1/2)+11)/14)

( y-((3089^(1/2)-11)/14) )

y-((3089^(1/2)-11)/14) = 0 // + (3089^(1/2)-11)/14

y = (3089^(1/2)-11)/14

y in { -((3089^(1/2)+11)/14), (3089^(1/2)-11)/14 }

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