((3x^2)-3)/((2x-1)(5x+2))

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


D( x )

(2*x-1)*(5*x+2) = 0

(2*x-1)*(5*x+2) = 0

(2*x-1)*(5*x+2) = 0

( 2*x-1 )

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

( 5*x+2 )

5*x+2 = 0 // - 2

5*x = -2 // : 5

x = -2/5

x in (-oo:-2/5) U (-2/5:1/2) U (1/2:+oo)

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

3*x^2 = 3 // : 3

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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