3z^1/4(5z^5-z^1/4)

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

z in (-oo:+oo)

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

((3*z)/4)*(5*z^5-(z/4)) = 0

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

5*z^5-1/4*z = 0

z*(5*z^4-1/4) = 0

5*z^4 = 1/4 // : 5

z^4 = 1/20

z^4 = 1/20 // ^ 1/4

abs(z) = (1/20)^(1/4)

z = (1/20)^(1/4) or z = -(1/20)^(1/4)

z*(z-(1/20)^(1/4))*(z+(1/20)^(1/4)) = 0

3/4*z*z*(z-(1/20)^(1/4))*(z+(1/20)^(1/4)) = 0

( 3/4*z )

3/4*z = 0 // : 3/4

z = 0

( z+(1/20)^(1/4) )

z+(1/20)^(1/4) = 0 // - (1/20)^(1/4)

z = -(1/20)^(1/4)

( z-(1/20)^(1/4) )

z-(1/20)^(1/4) = 0 // + (1/20)^(1/4)

z = (1/20)^(1/4)

( z )

z = 0

z in { 0, -(1/20)^(1/4), (1/20)^(1/4), 0 }