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

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

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

Combine like terms: 5k2 + 2k2 = 7k2
5k + 2(7k2) = 0

Remove parenthesis around (7k2)
5k + 2 * 7k2 = 0

Multiply 2 * 7
5k + 14k2 = 0

Solving
5k + 14k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(5 + 14k) = 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 '(5 + 14k)' equal to zero and attempt to solve:

Simplifying
5 + 14k = 0

Solving
5 + 14k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 14k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 14k = 0 + -5
14k = 0 + -5

Combine like terms: 0 + -5 = -5
14k = -5

Divide each side by '14'.
k = -0.3571428571

Simplifying
k = -0.3571428571
Solution
k = {0, -0.3571428571}