8z^2(3-2z^3)=

Solution for 8z^2(3-2z^3)= equation:

Simplifying
8z2(3 + -2z3) = 0
(3 * 8z2 + -2z3 * 8z2) = 0
(24z2 + -16z5) = 0

Solving
24z2 + -16z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '8z2'.
8z2(3 + -2z3) = 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 + -2z3)' equal to zero and attempt to solve:

Simplifying
3 + -2z3 = 0

Solving
3 + -2z3 = 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 + -2z3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2z3 = 0 + -3
-2z3 = 0 + -3

Combine like terms: 0 + -3 = -3
-2z3 = -3

Divide each side by '-2'.
z3 = 1.5

Simplifying
z3 = 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}