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Simplifying x4 + 4 + -20x2 + 400 = -64 Reorder the terms: 4 + 400 + -20x2 + x4 = -64 Combine like terms: 4 + 400 = 404 404 + -20x2 + x4 = -64 Solving 404 + -20x2 + x4 = -64 Solving for variable 'x'. Reorder the terms: 404 + 64 + -20x2 + x4 = -64 + 64 Combine like terms: 404 + 64 = 468 468 + -20x2 + x4 = -64 + 64 Combine like terms: -64 + 64 = 0 468 + -20x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-468' to each side of the equation. 468 + -20x2 + -468 + x4 = 0 + -468 Reorder the terms: 468 + -468 + -20x2 + x4 = 0 + -468 Combine like terms: 468 + -468 = 0 0 + -20x2 + x4 = 0 + -468 -20x2 + x4 = 0 + -468 Combine like terms: 0 + -468 = -468 -20x2 + x4 = -468 The x term is -20x2. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x2 + 100 + x4 = -468 + 100 Reorder the terms: 100 + -20x2 + x4 = -468 + 100 Combine like terms: -468 + 100 = -368 100 + -20x2 + x4 = -368 Factor a perfect square on the left side: (x2 + -10)(x2 + -10) = -368 Can't calculate square root of the right side. The solution to this equation could not be determined.
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