k^2+64k=0

Solution for k^2+64k=0 equation:

Simplifying
k2 + 64k = 0

Reorder the terms:
64k + k2 = 0

Solving
64k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(64 + 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 '(64 + k)' equal to zero and attempt to solve:

Simplifying
64 + k = 0

Solving
64 + k = 0

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

Add '-64' to each side of the equation.
64 + -64 + k = 0 + -64

Combine like terms: 64 + -64 = 0
0 + k = 0 + -64
k = 0 + -64

Combine like terms: 0 + -64 = -64
k = -64

Simplifying
k = -64
Solution
k = {0, -64}