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Simplifying x4 + -33x2 + 784 = 0 Reorder the terms: 784 + -33x2 + x4 = 0 Solving 784 + -33x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-784' to each side of the equation. 784 + -33x2 + -784 + x4 = 0 + -784 Reorder the terms: 784 + -784 + -33x2 + x4 = 0 + -784 Combine like terms: 784 + -784 = 0 0 + -33x2 + x4 = 0 + -784 -33x2 + x4 = 0 + -784 Combine like terms: 0 + -784 = -784 -33x2 + x4 = -784 The x term is -33x2. Take half its coefficient (-16.5). Square it (272.25) and add it to both sides. Add '272.25' to each side of the equation. -33x2 + 272.25 + x4 = -784 + 272.25 Reorder the terms: 272.25 + -33x2 + x4 = -784 + 272.25 Combine like terms: -784 + 272.25 = -511.75 272.25 + -33x2 + x4 = -511.75 Factor a perfect square on the left side: (x2 + -16.5)(x2 + -16.5) = -511.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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