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Simplifying x4 + -12x2 + 96 = 0 Reorder the terms: 96 + -12x2 + x4 = 0 Solving 96 + -12x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-96' to each side of the equation. 96 + -12x2 + -96 + x4 = 0 + -96 Reorder the terms: 96 + -96 + -12x2 + x4 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -12x2 + x4 = 0 + -96 -12x2 + x4 = 0 + -96 Combine like terms: 0 + -96 = -96 -12x2 + x4 = -96 The x term is -12x2. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x2 + 36 + x4 = -96 + 36 Reorder the terms: 36 + -12x2 + x4 = -96 + 36 Combine like terms: -96 + 36 = -60 36 + -12x2 + x4 = -60 Factor a perfect square on the left side: (x2 + -6)(x2 + -6) = -60 Can't calculate square root of the right side. The solution to this equation could not be determined.
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