2z^3=10z

Solution for 2z^3=10z equation:

Simplifying
2z3 = 10z

Solving
2z3 = 10z

Solving for variable 'z'.

Reorder the terms:
-10z + 2z3 = 10z + -10z

Combine like terms: 10z + -10z = 0
-10z + 2z3 = 0

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

Ignore the factor 2.
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 '(-5 + z2)' equal to zero and attempt to solve:

Simplifying
-5 + z2 = 0

Solving
-5 + z2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + z2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + z2 = 0 + 5
z2 = 0 + 5

Combine like terms: 0 + 5 = 5
z2 = 5

Simplifying
z2 = 5

Take the square root of each side:
z = {-2.236067978, 2.236067978}
Solution
z = {0, -2.236067978, 2.236067978}