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Simplifying 5k2 + 5k = 4k2 Reorder the terms: 5k + 5k2 = 4k2 Solving 5k + 5k2 = 4k2 Solving for variable 'k'. Combine like terms: 5k2 + -4k2 = 1k2 5k + 1k2 = 4k2 + -4k2 Combine like terms: 4k2 + -4k2 = 0 5k + 1k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(5 + k) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 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 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Solution
k = {0, -5}
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