8z^3(2-4z^2)=

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Solution for 8z^3(2-4z^2)= equation: 


Simplifying
8z3(2 + -4z2) = 0
(2 * 8z3 + -4z2 * 8z3) = 0
(16z3 + -32z5) = 0

Solving
16z3 + -32z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '16z3'.
16z3(1 + -2z2) = 0

Ignore the factor 16.

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 '(1 + -2z2)' equal to zero and attempt to solve:

Simplifying
1 + -2z2 = 0

Solving
1 + -2z2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2z2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2z2 = 0 + -1
-2z2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2z2 = -1

Divide each side by '-2'.
z2 = 0.5

Simplifying
z2 = 0.5

Take the square root of each side:
z = {-0.707106781, 0.707106781}
Solution
z = {-0.707106781, 0.707106781}

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