5z^3+15z^2=

Solution for 5z^3+15z^2= equation:

Simplifying
5z3 + 15z2 = 0

Reorder the terms:
15z2 + 5z3 = 0

Solving
15z2 + 5z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5z2'.
5z2(3 + z) = 0

Ignore the factor 5.
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 + z)' equal to zero and attempt to solve:

Simplifying
3 + z = 0

Solving
3 + z = 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 + z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + z = 0 + -3
z = 0 + -3

Combine like terms: 0 + -3 = -3
z = -3

Simplifying
z = -3
Solution
z = {0, -3}