5k=1k^2

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Solution for 5k=1k^2 equation:


Simplifying
5k = 1k2

Solving
5k = 1k2

Solving for variable 'k'.

Combine like terms: 1k2 + -1k2 = 0
5k + -1k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(5 + -1k) = 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 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5

Solution

k = {0, 5}

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