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Simplifying x4 + -8x2 = -1616 Reorder the terms: -8x2 + x4 = -1616 Solving -8x2 + x4 = -1616 Solving for variable 'x'. Reorder the terms: 1616 + -8x2 + x4 = -1616 + 1616 Combine like terms: -1616 + 1616 = 0 1616 + -8x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-1616' to each side of the equation. 1616 + -8x2 + -1616 + x4 = 0 + -1616 Reorder the terms: 1616 + -1616 + -8x2 + x4 = 0 + -1616 Combine like terms: 1616 + -1616 = 0 0 + -8x2 + x4 = 0 + -1616 -8x2 + x4 = 0 + -1616 Combine like terms: 0 + -1616 = -1616 -8x2 + x4 = -1616 The x term is -8x2. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x2 + 16 + x4 = -1616 + 16 Reorder the terms: 16 + -8x2 + x4 = -1616 + 16 Combine like terms: -1616 + 16 = -1600 16 + -8x2 + x4 = -1600 Factor a perfect square on the left side: (x2 + -4)(x2 + -4) = -1600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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