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Simplifying 8k2 + 80k + 200 = 0 Reorder the terms: 200 + 80k + 8k2 = 0 Solving 200 + 80k + 8k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8'. 8(25 + 10k + k2) = 0 Factor a trinomial. 8((5 + k)(5 + k)) = 0 Ignore the factor 8.Subproblem 1
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 = -5Subproblem 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 = {-5, -5}
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