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

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


D( x )

4*x^2-1 = 0

4*x^2-1 = 0

4*x^2-1 = 0

4*x^2 = 1 // : 4

x^2 = 1/4

x^2 = 1/4 // ^ 1/2

abs(x) = 1/2

x = 1/2 or x = -1/2

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

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

6*x^2+3*x = 0

3*x*(2*x+1) = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

3*x*(x+1/2) = 0

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

( 3*x )

3*x = 0 // : 3

x = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

x in { -1/2}

x = 0

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