(8X4-6X2)/5

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Solution for (8X4-6X2)/5 equation: 


X in (-oo:+oo)

(8*X^4-(6*X^2))/5 = 0

(8*X^4-6*X^2)/5 = 0

8*X^4-6*X^2 = 0

2*X^2*(4*X^2-3) = 0

4*X^2 = 3 // : 4

X^2 = 3/4

X^2 = 3/4 // ^ 1/2

abs(X) = (3/4)^(1/2)

X = (3/4)^(1/2) or X = -(3/4)^(1/2)

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

(2*X^2*(X-(3/4)^(1/2))*(X+(3/4)^(1/2)))/5 = 0

( 2*X^2 )

2*X^2 = 0 // : 2

X^2 = 0

X = 0

( X+(3/4)^(1/2) )

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

X = -(3/4)^(1/2)

( X-(3/4)^(1/2) )

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

X = (3/4)^(1/2)

X in { 0, -(3/4)^(1/2), (3/4)^(1/2) }

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