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Simplifying 8k2 + 4k + -3k2 + -1k + 5 = 0 Reorder the terms: 5 + 4k + -1k + 8k2 + -3k2 = 0 Combine like terms: 4k + -1k = 3k 5 + 3k + 8k2 + -3k2 = 0 Combine like terms: 8k2 + -3k2 = 5k2 5 + 3k + 5k2 = 0 Solving 5 + 3k + 5k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 0.6k + k2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.6k + -1 + k2 = 0 + -1 Reorder the terms: 1 + -1 + 0.6k + k2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6k + k2 = 0 + -1 0.6k + k2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.6k + k2 = -1 The k term is 0.6k. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6k + 0.09 + k2 = -1 + 0.09 Reorder the terms: 0.09 + 0.6k + k2 = -1 + 0.09 Combine like terms: -1 + 0.09 = -0.91 0.09 + 0.6k + k2 = -0.91 Factor a perfect square on the left side: (k + 0.3)(k + 0.3) = -0.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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