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Simplifying k2 = 12k + -45 Reorder the terms: k2 = -45 + 12k Solving k2 = -45 + 12k Solving for variable 'k'. Reorder the terms: 45 + -12k + k2 = -45 + 12k + 45 + -12k Reorder the terms: 45 + -12k + k2 = -45 + 45 + 12k + -12k Combine like terms: -45 + 45 = 0 45 + -12k + k2 = 0 + 12k + -12k 45 + -12k + k2 = 12k + -12k Combine like terms: 12k + -12k = 0 45 + -12k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -12k + -45 + k2 = 0 + -45 Reorder the terms: 45 + -45 + -12k + k2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -12k + k2 = 0 + -45 -12k + k2 = 0 + -45 Combine like terms: 0 + -45 = -45 -12k + k2 = -45 The k term is -12k. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12k + 36 + k2 = -45 + 36 Reorder the terms: 36 + -12k + k2 = -45 + 36 Combine like terms: -45 + 36 = -9 36 + -12k + k2 = -9 Factor a perfect square on the left side: (k + -6)(k + -6) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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