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Simplifying k2 + 18 = 4k Reorder the terms: 18 + k2 = 4k Solving 18 + k2 = 4k Solving for variable 'k'. Reorder the terms: 18 + -4k + k2 = 4k + -4k Combine like terms: 4k + -4k = 0 18 + -4k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -4k + -18 + k2 = 0 + -18 Reorder the terms: 18 + -18 + -4k + k2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4k + k2 = 0 + -18 -4k + k2 = 0 + -18 Combine like terms: 0 + -18 = -18 -4k + k2 = -18 The k term is -4k. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4k + 4 + k2 = -18 + 4 Reorder the terms: 4 + -4k + k2 = -18 + 4 Combine like terms: -18 + 4 = -14 4 + -4k + k2 = -14 Factor a perfect square on the left side: (k + -2)(k + -2) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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