z(4z^2+5)(z+4)=

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Solution for z(4z^2+5)(z+4)= equation: 


Simplifying
z(4z2 + 5)(z + 4) = 0

Reorder the terms:
z(5 + 4z2)(z + 4) = 0

Reorder the terms:
z(5 + 4z2)(4 + z) = 0

Multiply (5 + 4z2) * (4 + z)
z(5(4 + z) + 4z2 * (4 + z)) = 0
z((4 * 5 + z * 5) + 4z2 * (4 + z)) = 0
z((20 + 5z) + 4z2 * (4 + z)) = 0
z(20 + 5z + (4 * 4z2 + z * 4z2)) = 0
z(20 + 5z + (16z2 + 4z3)) = 0
z(20 + 5z + 16z2 + 4z3) = 0
(20 * z + 5z * z + 16z2 * z + 4z3 * z) = 0
(20z + 5z2 + 16z3 + 4z4) = 0

Solving
20z + 5z2 + 16z3 + 4z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(20 + 5z + 16z2 + 4z3) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

Move all terms containing z to the left, all other terms to the right.

Simplifying
z = 0

Subproblem 2
Set the factor '(20 + 5z + 16z2 + 4z3)' equal to zero and attempt to solve:

Simplifying
20 + 5z + 16z2 + 4z3 = 0

Solving
20 + 5z + 16z2 + 4z3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
z = {0}

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