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Simplifying 4x4 + 3x2 + 12 = 0 Reorder the terms: 12 + 3x2 + 4x4 = 0 Solving 12 + 3x2 + 4x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + 0.75x2 + x4 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 0.75x2 + -3 + x4 = 0 + -3 Reorder the terms: 3 + -3 + 0.75x2 + x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.75x2 + x4 = 0 + -3 0.75x2 + x4 = 0 + -3 Combine like terms: 0 + -3 = -3 0.75x2 + x4 = -3 The x term is 0.75x2. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x2 + 0.140625 + x4 = -3 + 0.140625 Reorder the terms: 0.140625 + 0.75x2 + x4 = -3 + 0.140625 Combine like terms: -3 + 0.140625 = -2.859375 0.140625 + 0.75x2 + x4 = -2.859375 Factor a perfect square on the left side: (x2 + 0.375)(x2 + 0.375) = -2.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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