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Simplifying k2 + 8k + 5 = 5 Reorder the terms: 5 + 8k + k2 = 5 Add '-5' to each side of the equation. 5 + 8k + -5 + k2 = 5 + -5 Reorder the terms: 5 + -5 + 8k + k2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 8k + k2 = 5 + -5 8k + k2 = 5 + -5 Combine like terms: 5 + -5 = 0 8k + k2 = 0 Solving 8k + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(8 + 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 '(8 + k)' equal to zero and attempt to solve: Simplifying 8 + k = 0 Solving 8 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + k = 0 + -8 k = 0 + -8 Combine like terms: 0 + -8 = -8 k = -8 Simplifying k = -8Solution
k = {0, -8}
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