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Simplifying (k * k) + -8k + 19 = 0 Multiply k * k (k2) + -8k + 19 = 0 k2 + -8k + 19 = 0 Reorder the terms: 19 + -8k + k2 = 0 Solving 19 + -8k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -8k + -19 + k2 = 0 + -19 Reorder the terms: 19 + -19 + -8k + k2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8k + k2 = 0 + -19 -8k + k2 = 0 + -19 Combine like terms: 0 + -19 = -19 -8k + k2 = -19 The k term is -8k. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8k + 16 + k2 = -19 + 16 Reorder the terms: 16 + -8k + k2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + -8k + k2 = -3 Factor a perfect square on the left side: (k + -4)(k + -4) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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