Z^2+3Z=

Solution for Z^2+3Z= equation:

Simplifying
Z2 + 3Z = 0

Reorder the terms:
3Z + Z2 = 0

Solving
3Z + Z2 = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(3 + Z) = 0

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 '(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}