2k^5-54k^2=0

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Solution for 2k^5-54k^2=0 equation:


Simplifying
2k5 + -54k2 = 0

Reorder the terms:
-54k2 + 2k5 = 0

Solving
-54k2 + 2k5 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2k2'.
2k2(-27 + k3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'k2' equal to zero and attempt to solve: Simplifying k2 = 0 Solving k2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2 = 0 Take the square root of each side: k = {0}

Subproblem 2

Set the factor '(-27 + k3)' equal to zero and attempt to solve: Simplifying -27 + k3 = 0 Solving -27 + k3 = 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 + k3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + k3 = 0 + 27 k3 = 0 + 27 Combine like terms: 0 + 27 = 27 k3 = 27 Simplifying k3 = 27 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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