7k^2=-14k

Solution for 7k^2=-14k equation:

Simplifying
7k2 = -14k

Solving
7k2 = -14k

Solving for variable 'k'.

Reorder the terms:
14k + 7k2 = -14k + 14k

Combine like terms: -14k + 14k = 0
14k + 7k2 = 0

Factor out the Greatest Common Factor (GCF), '7k'.
7k(2 + k) = 0

Ignore the factor 7.
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 '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Simplifying
k = -2
Solution
k = {0, -2}