(-12x^4+96x^2)/-4x

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Solution for (-12x^4+96x^2)/-4x equation: 


x in (-oo:+oo)

x*((96*x^2-12*x^4)/(-4)) = 0

(x*(96*x^2-12*x^4))/(-4) = 0

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

12*x^2*(8-x^2) = 0

-1*x^2 = -8 // : -1

x^2 = 8

x^2 = 8 // ^ 1/2

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

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

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

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

( 12*x^2 )

12*x^2 = 0 // : 12

x^2 = 0

x = 0

( x+2*2^(1/2) )

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

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

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

( x-2*2^(1/2) )

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

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

x = 2*2^(1/2)

( x )

x = 0

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

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