10k^2+2k+25k=0

Solution for 10k^2+2k+25k=0 equation:

Simplifying
10k2 + 2k + 25k = 0

Reorder the terms:
2k + 25k + 10k2 = 0

Combine like terms: 2k + 25k = 27k
27k + 10k2 = 0

Solving
27k + 10k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(27 + 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 '(27 + 10k)' equal to zero and attempt to solve:

Simplifying
27 + 10k = 0

Solving
27 + 10k = 0

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

Add '-27' to each side of the equation.
27 + -27 + 10k = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 10k = 0 + -27
10k = 0 + -27

Combine like terms: 0 + -27 = -27
10k = -27

Divide each side by '10'.
k = -2.7

Simplifying
k = -2.7
Solution
k = {0, -2.7}