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Simplifying (k2 + -2k + 5) + -1(k2 + 5k + 3) = 0 Reorder the terms: (5 + -2k + k2) + -1(k2 + 5k + 3) = 0 Remove parenthesis around (5 + -2k + k2) 5 + -2k + k2 + -1(k2 + 5k + 3) = 0 Reorder the terms: 5 + -2k + k2 + -1(3 + 5k + k2) = 0 5 + -2k + k2 + (3 * -1 + 5k * -1 + k2 * -1) = 0 5 + -2k + k2 + (-3 + -5k + -1k2) = 0 Reorder the terms: 5 + -3 + -2k + -5k + k2 + -1k2 = 0 Combine like terms: 5 + -3 = 2 2 + -2k + -5k + k2 + -1k2 = 0 Combine like terms: -2k + -5k = -7k 2 + -7k + k2 + -1k2 = 0 Combine like terms: k2 + -1k2 = 0 2 + -7k + 0 = 0 2 + -7k = 0 Solving 2 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7k = 0 + -2 -7k = 0 + -2 Combine like terms: 0 + -2 = -2 -7k = -2 Divide each side by '-7'. k = 0.2857142857 Simplifying k = 0.2857142857
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