4x+7=30/x

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Solution for 4x+7=30/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x+7 = 30/x // - 30/x

4*x-(30/x)+7 = 0

4*x-30*x^-1+7 = 0

4*x^1-30*x^-1+7*x^0 = 0

(4*x^2+7*x^1-30*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2+7*x^1-30*x^0) = 0

x^1

4*x^2+7*x-30 = 0

4*x^2+7*x-30 = 0

DELTA = 7^2-(-30*4*4)

DELTA = 529

DELTA > 0

x = (529^(1/2)-7)/(2*4) or x = (-529^(1/2)-7)/(2*4)

x = 2 or x = -15/4

x in { -15/4, 2} 

x in { -15/4, 2 }

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