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Simplifying 5k * k + 12k + 16 = 0 Multiply k * k 5k2 + 12k + 16 = 0 Reorder the terms: 16 + 12k + 5k2 = 0 Solving 16 + 12k + 5k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.2 + 2.4k + k2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + 2.4k + -3.2 + k2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + 2.4k + k2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.4k + k2 = 0 + -3.2 2.4k + k2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 2.4k + k2 = -3.2 The k term is 2.4k. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4k + 1.44 + k2 = -3.2 + 1.44 Reorder the terms: 1.44 + 2.4k + k2 = -3.2 + 1.44 Combine like terms: -3.2 + 1.44 = -1.76 1.44 + 2.4k + k2 = -1.76 Factor a perfect square on the left side: (k + 1.2)(k + 1.2) = -1.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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