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Simplifying 4K2 + 21K + 72 = 0 Reorder the terms: 72 + 21K + 4K2 = 0 Solving 72 + 21K + 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'. 18 + 5.25K + K2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + 5.25K + -18 + K2 = 0 + -18 Reorder the terms: 18 + -18 + 5.25K + K2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5.25K + K2 = 0 + -18 5.25K + K2 = 0 + -18 Combine like terms: 0 + -18 = -18 5.25K + K2 = -18 The K term is 5.25K. Take half its coefficient (2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. 5.25K + 6.890625 + K2 = -18 + 6.890625 Reorder the terms: 6.890625 + 5.25K + K2 = -18 + 6.890625 Combine like terms: -18 + 6.890625 = -11.109375 6.890625 + 5.25K + K2 = -11.109375 Factor a perfect square on the left side: (K + 2.625)(K + 2.625) = -11.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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