k^2+50k=0

Solution for k^2+50k=0 equation:

Simplifying
k2 + 50k = 0

Reorder the terms:
50k + k2 = 0

Solving
50k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(50 + 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 '(50 + k)' equal to zero and attempt to solve:

Simplifying
50 + k = 0

Solving
50 + k = 0

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

Add '-50' to each side of the equation.
50 + -50 + k = 0 + -50

Combine like terms: 50 + -50 = 0
0 + k = 0 + -50
k = 0 + -50

Combine like terms: 0 + -50 = -50
k = -50

Simplifying
k = -50
Solution
k = {0, -50}