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Simplifying 2x4 + 11x2 + 30 = 0 Reorder the terms: 30 + 11x2 + 2x4 = 0 Solving 30 + 11x2 + 2x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15 + 5.5x2 + x4 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 5.5x2 + -15 + x4 = 0 + -15 Reorder the terms: 15 + -15 + 5.5x2 + x4 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5.5x2 + x4 = 0 + -15 5.5x2 + x4 = 0 + -15 Combine like terms: 0 + -15 = -15 5.5x2 + x4 = -15 The x term is 5.5x2. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x2 + 7.5625 + x4 = -15 + 7.5625 Reorder the terms: 7.5625 + 5.5x2 + x4 = -15 + 7.5625 Combine like terms: -15 + 7.5625 = -7.4375 7.5625 + 5.5x2 + x4 = -7.4375 Factor a perfect square on the left side: (x2 + 2.75)(x2 + 2.75) = -7.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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