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Simplifying 1k * 1k + 60 = 10k Reorder the terms for easier multiplication: 1 * 1k * k + 60 = 10k Multiply 1 * 1 1k * k + 60 = 10k Multiply k * k 1k2 + 60 = 10k Reorder the terms: 60 + 1k2 = 10k Solving 60 + 1k2 = 10k Solving for variable 'k'. Reorder the terms: 60 + -10k + 1k2 = 10k + -10k Combine like terms: 10k + -10k = 0 60 + -10k + 1k2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -10k + -60 + k2 = 0 + -60 Reorder the terms: 60 + -60 + -10k + k2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -10k + k2 = 0 + -60 -10k + k2 = 0 + -60 Combine like terms: 0 + -60 = -60 -10k + k2 = -60 The k term is -10k. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10k + 25 + k2 = -60 + 25 Reorder the terms: 25 + -10k + k2 = -60 + 25 Combine like terms: -60 + 25 = -35 25 + -10k + k2 = -35 Factor a perfect square on the left side: (k + -5)(k + -5) = -35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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