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Simplifying k2 + 4k + 4 = -7 Reorder the terms: 4 + 4k + k2 = -7 Solving 4 + 4k + k2 = -7 Solving for variable 'k'. Reorder the terms: 4 + 7 + 4k + k2 = -7 + 7 Combine like terms: 4 + 7 = 11 11 + 4k + k2 = -7 + 7 Combine like terms: -7 + 7 = 0 11 + 4k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 4k + -11 + k2 = 0 + -11 Reorder the terms: 11 + -11 + 4k + k2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4k + k2 = 0 + -11 4k + k2 = 0 + -11 Combine like terms: 0 + -11 = -11 4k + k2 = -11 The k term is 4k. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4k + 4 + k2 = -11 + 4 Reorder the terms: 4 + 4k + k2 = -11 + 4 Combine like terms: -11 + 4 = -7 4 + 4k + k2 = -7 Factor a perfect square on the left side: (k + 2)(k + 2) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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