8z^5+16z^4+10z^3=

Solution for 8z^5+16z^4+10z^3= equation:

Simplifying
8z5 + 16z4 + 10z3 = 0

Reorder the terms:
10z3 + 16z4 + 8z5 = 0

Solving
10z3 + 16z4 + 8z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z3'.
2z3(5 + 8z + 4z2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve:

Simplifying
z3 = 0

Solving
z3 = 0

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

Simplifying
z3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(5 + 8z + 4z2)' equal to zero and attempt to solve:

Simplifying
5 + 8z + 4z2 = 0

Solving
5 + 8z + 4z2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.25 + 2z + z2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 2z + -1.25 + z2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 2z + z2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 2z + z2 = 0 + -1.25
2z + z2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
2z + z2 = -1.25

The z term is 2z.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2z + 1 + z2 = -1.25 + 1

Reorder the terms:
1 + 2z + z2 = -1.25 + 1

Combine like terms: -1.25 + 1 = -0.25
1 + 2z + z2 = -0.25

Factor a perfect square on the left side:
(z + 1)(z + 1) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.