5k+2(5k^2+2k)=

Solution for 5k+2(5k^2+2k)= equation:

Simplifying
5k + 2(5k2 + 2k) = 0

Reorder the terms:
5k + 2(2k + 5k2) = 0
5k + (2k * 2 + 5k2 * 2) = 0
5k + (4k + 10k2) = 0

Combine like terms: 5k + 4k = 9k
9k + 10k2 = 0

Solving
9k + 10k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(9 + 10k) = 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 '(9 + 10k)' equal to zero and attempt to solve:

Simplifying
9 + 10k = 0

Solving
9 + 10k = 0

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

Add '-9' to each side of the equation.
9 + -9 + 10k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10k = 0 + -9
10k = 0 + -9

Combine like terms: 0 + -9 = -9
10k = -9

Divide each side by '10'.
k = -0.9

Simplifying
k = -0.9
Solution
k = {0, -0.9}