60=(x+15)(60/x-2)

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Solution for 60=(x+15)(60/x-2) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

60 = (x+15)*(60/x-2) // - (x+15)*(60/x-2)

60-((x+15)*(60/x-2)) = 0

60-1*(x+15)*(60*x^-1-2) = 0

60-1*(x+15)*(60*x^-1-2) = 0

2*x-900*x^-1+30 = 0

2*x-900*x^-1+30 = 0

2*(x-450*x^-1+15) = 0

1*x^1-450*x^-1+15*x^0 = 0

(1*x^2+15*x^1-450*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+15*x^1-450*x^0) = 0

x^1

x^2+15*x-450 = 0

x^2+15*x-450 = 0

DELTA = 15^2-(-450*1*4)

DELTA = 2025

DELTA > 0

x = (2025^(1/2)-15)/(1*2) or x = (-2025^(1/2)-15)/(1*2)

x = 15 or x = -30

x in { -30, 15} 

2*(x+30)*(x-15) = 0

2*(x+30)*(x-15) = 0

( x+30 )

x+30 = 0 // - 30

x = -30

( x-15 )

x-15 = 0 // + 15

x = 15

x in { -30, 15 }

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