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Simplifying 10k2 + 2k + 25 = 0 Reorder the terms: 25 + 2k + 10k2 = 0 Solving 25 + 2k + 10k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.5 + 0.2k + k2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 0.2k + -2.5 + k2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 0.2k + k2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.2k + k2 = 0 + -2.5 0.2k + k2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 0.2k + k2 = -2.5 The k term is 0.2k. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2k + 0.01 + k2 = -2.5 + 0.01 Reorder the terms: 0.01 + 0.2k + k2 = -2.5 + 0.01 Combine like terms: -2.5 + 0.01 = -2.49 0.01 + 0.2k + k2 = -2.49 Factor a perfect square on the left side: (k + 0.1)(k + 0.1) = -2.49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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