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Simplifying (k + -7) + -1(2k2 + -3k) = 0 Reorder the terms: (-7 + k) + -1(2k2 + -3k) = 0 Remove parenthesis around (-7 + k) -7 + k + -1(2k2 + -3k) = 0 Reorder the terms: -7 + k + -1(-3k + 2k2) = 0 -7 + k + (-3k * -1 + 2k2 * -1) = 0 -7 + k + (3k + -2k2) = 0 Combine like terms: k + 3k = 4k -7 + 4k + -2k2 = 0 Solving -7 + 4k + -2k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 3.5 + -2k + k2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -2k + -3.5 + k2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -2k + k2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -2k + k2 = 0 + -3.5 -2k + k2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -2k + k2 = -3.5 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 = -3.5 + 1 Reorder the terms: 1 + -2k + k2 = -3.5 + 1 Combine like terms: -3.5 + 1 = -2.5 1 + -2k + k2 = -2.5 Factor a perfect square on the left side: (k + -1)(k + -1) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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