600k^5+840k^3+294k=0

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Solution for 600k^5+840k^3+294k=0 equation: 


Simplifying
600k5 + 840k3 + 294k = 0

Reorder the terms:
294k + 840k3 + 600k5 = 0

Solving
294k + 840k3 + 600k5 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6k'.
6k(49 + 140k2 + 100k4) = 0

Factor a trinomial.
6k((7 + 10k2)(7 + 10k2)) = 0

Ignore the factor 6.

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 '(7 + 10k2)' equal to zero and attempt to solve:

Simplifying
7 + 10k2 = 0

Solving
7 + 10k2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + 10k2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10k2 = 0 + -7
10k2 = 0 + -7

Combine like terms: 0 + -7 = -7
10k2 = -7

Divide each side by '10'.
k2 = -0.7

Simplifying
k2 = -0.7

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(7 + 10k2)' equal to zero and attempt to solve:

Simplifying
7 + 10k2 = 0

Solving
7 + 10k2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + 10k2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10k2 = 0 + -7
10k2 = 0 + -7

Combine like terms: 0 + -7 = -7
10k2 = -7

Divide each side by '10'.
k2 = -0.7

Simplifying
k2 = -0.7

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}

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