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Simplifying 5k2 + -2k + 8 = 0 Reorder the terms: 8 + -2k + 5k2 = 0 Solving 8 + -2k + 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'. 1.6 + -0.4k + k2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + -0.4k + -1.6 + k2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + -0.4k + k2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.4k + k2 = 0 + -1.6 -0.4k + k2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -0.4k + k2 = -1.6 The k term is -0.4k. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4k + 0.04 + k2 = -1.6 + 0.04 Reorder the terms: 0.04 + -0.4k + k2 = -1.6 + 0.04 Combine like terms: -1.6 + 0.04 = -1.56 0.04 + -0.4k + k2 = -1.56 Factor a perfect square on the left side: (k + -0.2)(k + -0.2) = -1.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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