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Simplifying 8k2 + -18k + 35 = -2k Reorder the terms: 35 + -18k + 8k2 = -2k Solving 35 + -18k + 8k2 = -2k Solving for variable 'k'. Reorder the terms: 35 + -18k + 2k + 8k2 = -2k + 2k Combine like terms: -18k + 2k = -16k 35 + -16k + 8k2 = -2k + 2k Combine like terms: -2k + 2k = 0 35 + -16k + 8k2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.375 + -2k + k2 = 0 Move the constant term to the right: Add '-4.375' to each side of the equation. 4.375 + -2k + -4.375 + k2 = 0 + -4.375 Reorder the terms: 4.375 + -4.375 + -2k + k2 = 0 + -4.375 Combine like terms: 4.375 + -4.375 = 0.000 0.000 + -2k + k2 = 0 + -4.375 -2k + k2 = 0 + -4.375 Combine like terms: 0 + -4.375 = -4.375 -2k + k2 = -4.375 The k term is -2k. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2k + 1 + k2 = -4.375 + 1 Reorder the terms: 1 + -2k + k2 = -4.375 + 1 Combine like terms: -4.375 + 1 = -3.375 1 + -2k + k2 = -3.375 Factor a perfect square on the left side: (k + -1)(k + -1) = -3.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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