k^2+34k=0

Solution for k^2+34k=0 equation:

Simplifying
k2 + 34k = 0

Reorder the terms:
34k + k2 = 0

Solving
34k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(34 + 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 '(34 + k)' equal to zero and attempt to solve:

Simplifying
34 + k = 0

Solving
34 + k = 0

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

Add '-34' to each side of the equation.
34 + -34 + k = 0 + -34

Combine like terms: 34 + -34 = 0
0 + k = 0 + -34
k = 0 + -34

Combine like terms: 0 + -34 = -34
k = -34

Simplifying
k = -34
Solution
k = {0, -34}