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Simplifying K[3 + -1(k + 2)] + 5(k2 + -4k) = 0 Reorder the terms: K[3 + -1(2 + k)] + 5(k2 + -4k) = 0 K[3 + (2 * -1 + k * -1)] + 5(k2 + -4k) = 0 K[3 + (-2 + -1k)] + 5(k2 + -4k) = 0 Combine like terms: 3 + -2 = 1 K[1 + -1k] + 5(k2 + -4k) = 0 [1 * K + -1k * K] + 5(k2 + -4k) = 0 [1K + -1kK] + 5(k2 + -4k) = 0 Reorder the terms: 1K + -1kK + 5(-4k + k2) = 0 1K + -1kK + (-4k * 5 + k2 * 5) = 0 1K + -1kK + (-20k + 5k2) = 0 Reorder the terms: 1K + -20k + -1kK + 5k2 = 0 Solving 1K + -20k + -1kK + 5k2 = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '20k' to each side of the equation. 1K + -20k + -1kK + 20k + 5k2 = 0 + 20k Reorder the terms: 1K + -20k + 20k + -1kK + 5k2 = 0 + 20k Combine like terms: -20k + 20k = 0 1K + 0 + -1kK + 5k2 = 0 + 20k 1K + -1kK + 5k2 = 0 + 20k Remove the zero: 1K + -1kK + 5k2 = 20k Add '-5k2' to each side of the equation. 1K + -1kK + 5k2 + -5k2 = 20k + -5k2 Combine like terms: 5k2 + -5k2 = 0 1K + -1kK + 0 = 20k + -5k2 1K + -1kK = 20k + -5k2 Reorder the terms: 1K + -20k + -1kK + 5k2 = 20k + -5k2 + -20k + 5k2 Reorder the terms: 1K + -20k + -1kK + 5k2 = 20k + -20k + -5k2 + 5k2 Combine like terms: 20k + -20k = 0 1K + -20k + -1kK + 5k2 = 0 + -5k2 + 5k2 1K + -20k + -1kK + 5k2 = -5k2 + 5k2 Combine like terms: -5k2 + 5k2 = 0 1K + -20k + -1kK + 5k2 = 0 The solution to this equation could not be determined.
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