24k+k^2=10k

Solution for 24k+k^2=10k equation:

Simplifying
24k + k2 = 10k

Solving
24k + k2 = 10k

Solving for variable 'k'.

Reorder the terms:
24k + -10k + k2 = 10k + -10k

Combine like terms: 24k + -10k = 14k
14k + k2 = 10k + -10k

Combine like terms: 10k + -10k = 0
14k + k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(14 + 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 '(14 + k)' equal to zero and attempt to solve:

Simplifying
14 + k = 0

Solving
14 + k = 0

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

Add '-14' to each side of the equation.
14 + -14 + k = 0 + -14

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

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

Simplifying
k = -14
Solution
k = {0, -14}