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Simplifying 36k2 + 4k + 27 = 0 Reorder the terms: 27 + 4k + 36k2 = 0 Solving 27 + 4k + 36k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.75 + 0.1111111111k + k2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.1111111111k + -0.75 + k2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.1111111111k + k2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.1111111111k + k2 = 0 + -0.75 0.1111111111k + k2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.1111111111k + k2 = -0.75 The k term is 0.1111111111k. Take half its coefficient (0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. 0.1111111111k + 0.003086419752 + k2 = -0.75 + 0.003086419752 Reorder the terms: 0.003086419752 + 0.1111111111k + k2 = -0.75 + 0.003086419752 Combine like terms: -0.75 + 0.003086419752 = -0.746913580248 0.003086419752 + 0.1111111111k + k2 = -0.746913580248 Factor a perfect square on the left side: (k + 0.05555555555)(k + 0.05555555555) = -0.746913580248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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