k^2+47k=0

Solution for k^2+47k=0 equation:

Simplifying
k2 + 47k = 0

Reorder the terms:
47k + k2 = 0

Solving
47k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(47 + 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 '(47 + k)' equal to zero and attempt to solve:

Simplifying
47 + k = 0

Solving
47 + k = 0

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

Add '-47' to each side of the equation.
47 + -47 + k = 0 + -47

Combine like terms: 47 + -47 = 0
0 + k = 0 + -47
k = 0 + -47

Combine like terms: 0 + -47 = -47
k = -47

Simplifying
k = -47
Solution
k = {0, -47}