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

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


D( u )

u+5 = 0

u+5 = 0

u+5 = 0

u+5 = 0 // - 5

u = -5

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

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

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

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

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

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

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

7*u^2+35*u-20*u-4*u-100-20+10 = 0

7*u^2+15*u-4*u-90-20 = 0

7*u^2+11*u-110 = 0

7*u^2+11*u-110 = 0

7*u^2+11*u-110 = 0

DELTA = 11^2-(-110*4*7)

DELTA = 3201

DELTA > 0

u = (3201^(1/2)-11)/(2*7) or u = (-3201^(1/2)-11)/(2*7)

u = (3201^(1/2)-11)/14 or u = (-(3201^(1/2)+11))/14

(u+(3201^(1/2)+11)/14)*(u-((3201^(1/2)-11)/14)) = 0

((u+(3201^(1/2)+11)/14)*(u-((3201^(1/2)-11)/14)))/(2*(u+5)) = 0

((u+(3201^(1/2)+11)/14)*(u-((3201^(1/2)-11)/14)))/(2*(u+5)) = 0 // * 2*(u+5)

(u+(3201^(1/2)+11)/14)*(u-((3201^(1/2)-11)/14)) = 0

( u+(3201^(1/2)+11)/14 )

u+(3201^(1/2)+11)/14 = 0 // - (3201^(1/2)+11)/14

u = -((3201^(1/2)+11)/14)

( u-((3201^(1/2)-11)/14) )

u-((3201^(1/2)-11)/14) = 0 // + (3201^(1/2)-11)/14

u = (3201^(1/2)-11)/14

u in { -((3201^(1/2)+11)/14), (3201^(1/2)-11)/14 }

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