30/(p+2)=2p+5

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Solution for 30/(p+2)=2p+5 equation:


D( p )

p+2 = 0

p+2 = 0

p+2 = 0

p+2 = 0 // - 2

p = -2

p in (-oo:-2) U (-2:+oo)

30/(p+2) = 2*p+5 // - 2*p+5

30/(p+2)-(2*p)-5 = 0

30/(p+2)-2*p-5 = 0

30/(p+2)+(-2*p*(p+2))/(p+2)+(-5*(p+2))/(p+2) = 0

30-2*p*(p+2)-5*(p+2) = 0

30-2*p^2-4*p-5*p-10 = 0

20-2*p^2-9*p = 0

20-2*p^2-9*p = 0

20-2*p^2-9*p = 0

DELTA = (-9)^2-(-2*4*20)

DELTA = 241

DELTA > 0

p = (241^(1/2)+9)/(-2*2) or p = (9-241^(1/2))/(-2*2)

p = (241^(1/2)+9)/(-4) or p = (9-241^(1/2))/(-4)

(p-((241^(1/2)+9)/(-4)))*(p-((9-241^(1/2))/(-4))) = 0

((p-((241^(1/2)+9)/(-4)))*(p-((9-241^(1/2))/(-4))))/(p+2) = 0

((p-((241^(1/2)+9)/(-4)))*(p-((9-241^(1/2))/(-4))))/(p+2) = 0 // * p+2

(p-((241^(1/2)+9)/(-4)))*(p-((9-241^(1/2))/(-4))) = 0

( p-((241^(1/2)+9)/(-4)) )

p-((241^(1/2)+9)/(-4)) = 0 // + (241^(1/2)+9)/(-4)

p = (241^(1/2)+9)/(-4)

( p-((9-241^(1/2))/(-4)) )

p-((9-241^(1/2))/(-4)) = 0 // + (9-241^(1/2))/(-4)

p = (9-241^(1/2))/(-4)

p in { (241^(1/2)+9)/(-4), (9-241^(1/2))/(-4) }

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