7/x-3=4x

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Solution for 7/x-3=4x equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-3 = 4*x // - 4*x

7/x-(4*x)-3 = 0

7/x-4*x-3 = 0

7*x^-1-4*x^1-3*x^0 = 0

(7*x^0-4*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-4*x^2-3*x^1) = 0

x^1

7-4*x^2-3*x = 0

7-4*x^2-3*x = 0

DELTA = (-3)^2-(-4*4*7)

DELTA = 121

DELTA > 0

x = (121^(1/2)+3)/(-4*2) or x = (3-121^(1/2))/(-4*2)

x = -7/4 or x = 1

x in { -7/4, 1} 

x in { -7/4, 1 }

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