k^2+32k=0

Solution for k^2+32k=0 equation:

Simplifying
k2 + 32k = 0

Reorder the terms:
32k + k2 = 0

Solving
32k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(32 + k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(32 + k)' equal to zero and attempt to solve:

Simplifying
32 + k = 0

Solving
32 + k = 0

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

Add '-32' to each side of the equation.
32 + -32 + k = 0 + -32

Combine like terms: 32 + -32 = 0
0 + k = 0 + -32
k = 0 + -32

Combine like terms: 0 + -32 = -32
k = -32

Simplifying
k = -32
Solution
k = {0, -32}