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Simplifying x4 + 14x2 + 56 = 0 Reorder the terms: 56 + 14x2 + x4 = 0 Solving 56 + 14x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + 14x2 + -56 + x4 = 0 + -56 Reorder the terms: 56 + -56 + 14x2 + x4 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 14x2 + x4 = 0 + -56 14x2 + x4 = 0 + -56 Combine like terms: 0 + -56 = -56 14x2 + x4 = -56 The x term is 14x2. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x2 + 49 + x4 = -56 + 49 Reorder the terms: 49 + 14x2 + x4 = -56 + 49 Combine like terms: -56 + 49 = -7 49 + 14x2 + x4 = -7 Factor a perfect square on the left side: (x2 + 7)(x2 + 7) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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