=121k^2+10k

Solution for =121k^2+10k equation:

Simplifying
0 = 121k2 + 10k

Reorder the terms:
0 = 10k + 121k2

Solving
0 = 10k + 121k2

Solving for variable 'k'.
Remove the zero:
-10k + -121k2 = 10k + 121k2 + -10k + -121k2

Reorder the terms:
-10k + -121k2 = 10k + -10k + 121k2 + -121k2

Combine like terms: 10k + -10k = 0
-10k + -121k2 = 0 + 121k2 + -121k2
-10k + -121k2 = 121k2 + -121k2

Combine like terms: 121k2 + -121k2 = 0
-10k + -121k2 = 0

Factor out the Greatest Common Factor (GCF), '-1k'.
-1k(10 + 121k) = 0

Ignore the factor -1.
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 '(10 + 121k)' equal to zero and attempt to solve:

Simplifying
10 + 121k = 0

Solving
10 + 121k = 0

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

Add '-10' to each side of the equation.
10 + -10 + 121k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 121k = 0 + -10
121k = 0 + -10

Combine like terms: 0 + -10 = -10
121k = -10

Divide each side by '121'.
k = -0.0826446281

Simplifying
k = -0.0826446281
Solution
k = {0, -0.0826446281}