((54x^(4)-36x^(3)))/((2x-7))

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Solution for ((54x^(4)-36x^(3)))/((2x-7)) equation: 


D( x )

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

x in (-oo:7/2) U (7/2:+oo)

(54*x^4-(36*x^3))/(2*x-7) = 0

(54*x^4-36*x^3)/(2*x-7) = 0

54*x^4-36*x^3 = 0

18*x^3*(3*x-2) = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

18*x^3*(x-2/3) = 0

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

( 18*x^3 )

18*x^3 = 0 // : 18

x^3 = 0

x = 0

( x-2/3 )

x-2/3 = 0 // + 2/3

x = 2/3

x in { 0, 2/3 }

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