5z^1/4(3z^3/4-4z8)

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Solution for 5z^1/4(3z^3/4-4z8) equation: 


z in (-oo:+oo)

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

((5*z)/4)*((3*z^3)/4-4*z^8) = 0

5/4*z*(3/4*z^3-4*z^8) = 0

3/4*z^3-4*z^8 = 0

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

-4*z^5 = -3/4 // : -4

z^5 = 3/16

z^5 = 3/16 // ^ 1/5

z = (3/16)^(1/5)

z^3*(z-(3/16)^(1/5)) = 0

5/4*z*z^3*(z-(3/16)^(1/5)) = 0

( 5/4*z )

5/4*z = 0 // : 5/4

z = 0

( z-(3/16)^(1/5) )

z-(3/16)^(1/5) = 0 // + (3/16)^(1/5)

z = (3/16)^(1/5)

( z^3 )

1*z^3 = 0 // : 1

z^3 = 0

z = 0

z in { 0, (3/16)^(1/5), 0 }

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