h/90*(90-h)*50=10h

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Solution for h/90*(90-h)*50=10h equation: 


h in (-oo:+oo)

50*(h/90)*(90-h) = 10*h // - 10*h

50*(h/90)*(90-h)-(10*h) = 0

50*(h/90)*(90-h)-10*h = 0

5/9*h*(90-h)-10*h = 0

5/9*h*(90-h)-10*h = 0

40*h-5/9*h^2 = 0

40*h-5/9*h^2 = 0

5*h*(8-1/9*h) = 0

8-1/9*h = 0 // - 8

-1/9*h = -8 // : -1/9

h = -8/(-1/9)

h = 72

5*h*(h-72) = 0

5*h*(h-72) = 0

( 5*h )

5*h = 0 // : 5

h = 0

( h-72 )

h-72 = 0 // + 72

h = 72

h in { 0, 72 }

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