16z^4+24z^2=

Solution for 16z^4+24z^2= equation:

Simplifying
16z4 + 24z2 = 0

Reorder the terms:
24z2 + 16z4 = 0

Solving
24z2 + 16z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '8z2'.
8z2(3 + 2z2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve:

Simplifying
z2 = 0

Solving
z2 = 0

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

Simplifying
z2 = 0

Take the square root of each side:
z = {0}
Subproblem 2
Set the factor '(3 + 2z2)' equal to zero and attempt to solve:

Simplifying
3 + 2z2 = 0

Solving
3 + 2z2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2z2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2z2 = 0 + -3
2z2 = 0 + -3

Combine like terms: 0 + -3 = -3
2z2 = -3

Divide each side by '2'.
z2 = -1.5

Simplifying
z2 = -1.5

The solution to this equation could not be determined.

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