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Simplifying -2k(k + 5) + -3k = 0 Reorder the terms: -2k(5 + k) + -3k = 0 (5 * -2k + k * -2k) + -3k = 0 (-10k + -2k2) + -3k = 0 Reorder the terms: -10k + -3k + -2k2 = 0 Combine like terms: -10k + -3k = -13k -13k + -2k2 = 0 Solving -13k + -2k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '-1k'. -1k(13 + 2k) = 0 Ignore the factor -1.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 = 0Subproblem 2
Set the factor '(13 + 2k)' equal to zero and attempt to solve: Simplifying 13 + 2k = 0 Solving 13 + 2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2k = 0 + -13 2k = 0 + -13 Combine like terms: 0 + -13 = -13 2k = -13 Divide each side by '2'. k = -6.5 Simplifying k = -6.5Solution
k = {0, -6.5}
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