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Simplifying 2k2 + -16k + 44 = -7 Reorder the terms: 44 + -16k + 2k2 = -7 Solving 44 + -16k + 2k2 = -7 Solving for variable 'k'. Reorder the terms: 44 + 7 + -16k + 2k2 = -7 + 7 Combine like terms: 44 + 7 = 51 51 + -16k + 2k2 = -7 + 7 Combine like terms: -7 + 7 = 0 51 + -16k + 2k2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 25.5 + -8k + k2 = 0 Move the constant term to the right: Add '-25.5' to each side of the equation. 25.5 + -8k + -25.5 + k2 = 0 + -25.5 Reorder the terms: 25.5 + -25.5 + -8k + k2 = 0 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + -8k + k2 = 0 + -25.5 -8k + k2 = 0 + -25.5 Combine like terms: 0 + -25.5 = -25.5 -8k + k2 = -25.5 The k term is -8k. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8k + 16 + k2 = -25.5 + 16 Reorder the terms: 16 + -8k + k2 = -25.5 + 16 Combine like terms: -25.5 + 16 = -9.5 16 + -8k + k2 = -9.5 Factor a perfect square on the left side: (k + -4)(k + -4) = -9.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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