((5x^2)/(6-3x))/((2x-1)/(4-x^2))

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Solution for ((5x^2)/(6-3x))/((2x-1)/(4-x^2)) equation: 


D( x )

4-x^2 = 0

6-(3*x) = 0

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

4-x^2 = 0

4-x^2 = 0

-1*x^2 = -4 // : -1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

6-(3*x) = 0

6-(3*x) = 0

6-3*x = 0

6-3*x = 0 // - 6

-3*x = -6 // : -3

x = -6/(-3)

x = 2

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

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

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:-2) U (-2:1/2) U (1/2:2) U (2:+oo)

((5*x^2)/(6-(3*x)))/((2*x-1)/(4-x^2)) = 0

((5*x^2)/(6-3*x))/((2*x-1)/(4-x^2)) = 0

(5*x^2*(4-x^2))/((6-3*x)*(2*x-1)) = 0

( 4-x^2 )

-1*x^2 = -4 // : -1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

( 5*x^2 )

5*x^2 = 0 // : 5

x^2 = 0

x = 0

x in { 2} 

x in { -2} 

x = 0

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