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Simplifying 2k2 + -15k + 84 = 0 Reorder the terms: 84 + -15k + 2k2 = 0 Solving 84 + -15k + 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'. 42 + -7.5k + k2 = 0 Move the constant term to the right: Add '-42' to each side of the equation. 42 + -7.5k + -42 + k2 = 0 + -42 Reorder the terms: 42 + -42 + -7.5k + k2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7.5k + k2 = 0 + -42 -7.5k + k2 = 0 + -42 Combine like terms: 0 + -42 = -42 -7.5k + k2 = -42 The k term is -7.5k. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5k + 14.0625 + k2 = -42 + 14.0625 Reorder the terms: 14.0625 + -7.5k + k2 = -42 + 14.0625 Combine like terms: -42 + 14.0625 = -27.9375 14.0625 + -7.5k + k2 = -27.9375 Factor a perfect square on the left side: (k + -3.75)(k + -3.75) = -27.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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