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Simplifying 10k2 + 10k + 9 = 0 Reorder the terms: 9 + 10k + 10k2 = 0 Solving 9 + 10k + 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'. 0.9 + k + k2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + k + -0.9 + k2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + k + k2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + k + k2 = 0 + -0.9 k + k2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 k + k2 = -0.9 The k term is k. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + k2 = -0.9 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + k2 = -0.9 + 0.25 Combine like terms: -0.9 + 0.25 = -0.65 1.25 + k2 = -0.65 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = -0.65 Can't calculate square root of the right side. The solution to this equation could not be determined.
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