3X^3/4(5X^1/4-X^9/4)

Solution for 3X^3/4(5X^1/4-X^9/4) equation:

X in (-oo:+oo)

((3*X^3)/4)*((5*X^1)/4-((X^9)/4)) = 0

((3*X^3)/4)*((5*X)/4-((X^9)/4)) = 0

3/4*X^3*(5/4*X-1/4*X^9) = 0

5/4*X-1/4*X^9 = 0

1/4*X*(5-X^8) = 0

-1*X^8 = -5 // : -1

X^8 = 5

X^8 = 5 // ^ 1/8

abs(X) = 5^(1/8)

X = 5^(1/8) or X = -5^(1/8)

1/4*X*(X-5^(1/8))*(X+5^(1/8)) = 0

1/4*3/4*X*X^3*(X-5^(1/8))*(X+5^(1/8)) = 0

( 1/4*X )

1/4*X = 0 // : 1/4

X = 0

( 3/4*X^3 )

3/4*X^3 = 0 // : 3/4

X^3 = 0

X = 0

( X+5^(1/8) )

X+5^(1/8) = 0 // - 5^(1/8)

X = -5^(1/8)

( X-5^(1/8) )

X-5^(1/8) = 0 // + 5^(1/8)

X = 5^(1/8)

X in { 0, 0, -5^(1/8), 5^(1/8) }