(6x^4-12x^2)/3x^2

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Solution for (6x^4-12x^2)/3x^2 equation:


x in (-oo:+oo)

x^2*((6*x^4-(12*x^2))/3) = 0

x^2*((6*x^4-12*x^2)/3) = 0

(x^2*(6*x^4-12*x^2))/3 = 0

6*x^4-12*x^2 = 0

6*x^2*(x^2-2) = 0

1*x^2 = 2 // : 1

x^2 = 2

x^2 = 2 // ^ 1/2

abs(x) = 2^(1/2)

x = 2^(1/2) or x = -2^(1/2)

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

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

( 6*x^2 )

6*x^2 = 0 // : 6

x^2 = 0

x = 0

( x+2^(1/2) )

x+2^(1/2) = 0 // - 2^(1/2)

x = -2^(1/2)

( x-2^(1/2) )

x-2^(1/2) = 0 // + 2^(1/2)

x = 2^(1/2)

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0, -2^(1/2), 2^(1/2), 0 }

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