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Simplifying 4k2 + 4k + 37 = 0 Reorder the terms: 37 + 4k + 4k2 = 0 Solving 37 + 4k + 4k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 9.25 + k + k2 = 0 Move the constant term to the right: Add '-9.25' to each side of the equation. 9.25 + k + -9.25 + k2 = 0 + -9.25 Reorder the terms: 9.25 + -9.25 + k + k2 = 0 + -9.25 Combine like terms: 9.25 + -9.25 = 0.00 0.00 + k + k2 = 0 + -9.25 k + k2 = 0 + -9.25 Combine like terms: 0 + -9.25 = -9.25 k + k2 = -9.25 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 = -9.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + k2 = -9.25 + 0.25 Combine like terms: -9.25 + 0.25 = -9 1.25 + k2 = -9 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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