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Simplifying x4 = 12x2 + -64 Reorder the terms: x4 = -64 + 12x2 Solving x4 = -64 + 12x2 Solving for variable 'x'. Reorder the terms: 64 + -12x2 + x4 = -64 + 12x2 + 64 + -12x2 Reorder the terms: 64 + -12x2 + x4 = -64 + 64 + 12x2 + -12x2 Combine like terms: -64 + 64 = 0 64 + -12x2 + x4 = 0 + 12x2 + -12x2 64 + -12x2 + x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 64 + -12x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + -12x2 + -64 + x4 = 0 + -64 Reorder the terms: 64 + -64 + -12x2 + x4 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -12x2 + x4 = 0 + -64 -12x2 + x4 = 0 + -64 Combine like terms: 0 + -64 = -64 -12x2 + x4 = -64 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 = -64 + 36 Reorder the terms: 36 + -12x2 + x4 = -64 + 36 Combine like terms: -64 + 36 = -28 36 + -12x2 + x4 = -28 Factor a perfect square on the left side: (x2 + -6)(x2 + -6) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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