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Simplifying d4 + 4d2 + 16 = 0 Reorder the terms: 16 + 4d2 + d4 = 0 Solving 16 + 4d2 + d4 = 0 Solving for variable 'd'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 4d2 + -16 + d4 = 0 + -16 Reorder the terms: 16 + -16 + 4d2 + d4 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4d2 + d4 = 0 + -16 4d2 + d4 = 0 + -16 Combine like terms: 0 + -16 = -16 4d2 + d4 = -16 The d term is 4d2. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4d2 + 4 + d4 = -16 + 4 Reorder the terms: 4 + 4d2 + d4 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + 4d2 + d4 = -12 Factor a perfect square on the left side: (d2 + 2)(d2 + 2) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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