2/(3x)-5(6x)=4

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Solution for 2/(3x)-5(6x)=4 equation:


D( x )

3*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

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

2/(3*x)-(5*6*x) = 4 // - 4

2/(3*x)-(5*6*x)-4 = 0

2/(3*x)-30*x-4 = 0

2/3*x^-1-30*x^1-4*x^0 = 0

(2/3*x^0-30*x^2-4*x^1)/(x^1) = 0 // * x^2

x^1*(2/3*x^0-30*x^2-4*x^1) = 0

x^1

2/3-30*x^2-4*x = 0

2/3-30*x^2-4*x = 0

DELTA = (-4)^2-(-30*4*(2/3))

DELTA = 96

DELTA > 0

x = (96^(1/2)+4)/(-30*2) or x = (4-96^(1/2))/(-30*2)

x = (4*6^(1/2)+4)/(-60) or x = (4-4*6^(1/2))/(-60)

x in { (4*6^(1/2)+4)/(-60), (4-4*6^(1/2))/(-60)}

x in { (4*6^(1/2)+4)/(-60), (4-4*6^(1/2))/(-60) }

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