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Simplifying 2 = 0.5k + -2sqrt(1.5k) Remove parenthesis around (1.5k) 2 = 0.5k + -2qrst * 1.5k Reorder the terms for easier multiplication: 2 = 0.5k + -2 * 1.5qrst * k Multiply -2 * 1.5 2 = 0.5k + -3qrst * k Multiply qrst * k 2 = 0.5k + -3kqrst Solving 2 = 0.5k + -3kqrst Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. 2 + -0.5k = 0.5k + -0.5k + -3kqrst Combine like terms: 0.5k + -0.5k = 0.0 2 + -0.5k = 0.0 + -3kqrst 2 + -0.5k = -3kqrst Add '3kqrst' to each side of the equation. 2 + -0.5k + 3kqrst = -3kqrst + 3kqrst Combine like terms: -3kqrst + 3kqrst = 0 2 + -0.5k + 3kqrst = 0 Add '-2' to each side of the equation. 2 + -0.5k + -2 + 3kqrst = 0 + -2 Reorder the terms: 2 + -2 + -0.5k + 3kqrst = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5k + 3kqrst = 0 + -2 -0.5k + 3kqrst = 0 + -2 Combine like terms: 0 + -2 = -2 -0.5k + 3kqrst = -2 Reorder the terms: 2 + -0.5k + 3kqrst = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -0.5k + 3kqrst = 0 The solution to this equation could not be determined.
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