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Simplifying 10 = 3k + -1k2 Solving 10 = 3k + -1k2 Solving for variable 'k'. Reorder the terms: 10 + -3k + k2 = 3k + -3k + -1k2 + k2 Combine like terms: 3k + -3k = 0 10 + -3k + k2 = 0 + -1k2 + k2 10 + -3k + k2 = -1k2 + k2 Combine like terms: -1k2 + k2 = 0 10 + -3k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3k + -10 + k2 = 0 + -10 Reorder the terms: 10 + -10 + -3k + k2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3k + k2 = 0 + -10 -3k + k2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3k + k2 = -10 The k term is -3k. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3k + 2.25 + k2 = -10 + 2.25 Reorder the terms: 2.25 + -3k + k2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + -3k + k2 = -7.75 Factor a perfect square on the left side: (k + -1.5)(k + -1.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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