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Simplifying x4 + -3x2 + 12 = 0 Reorder the terms: 12 + -3x2 + x4 = 0 Solving 12 + -3x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + -3x2 + -12 + x4 = 0 + -12 Reorder the terms: 12 + -12 + -3x2 + x4 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3x2 + x4 = 0 + -12 -3x2 + x4 = 0 + -12 Combine like terms: 0 + -12 = -12 -3x2 + x4 = -12 The x term is -3x2. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x2 + 2.25 + x4 = -12 + 2.25 Reorder the terms: 2.25 + -3x2 + x4 = -12 + 2.25 Combine like terms: -12 + 2.25 = -9.75 2.25 + -3x2 + x4 = -9.75 Factor a perfect square on the left side: (x2 + -1.5)(x2 + -1.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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