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Simplifying x4 + 72x2 + 94400 = 0 Reorder the terms: 94400 + 72x2 + x4 = 0 Solving 94400 + 72x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-94400' to each side of the equation. 94400 + 72x2 + -94400 + x4 = 0 + -94400 Reorder the terms: 94400 + -94400 + 72x2 + x4 = 0 + -94400 Combine like terms: 94400 + -94400 = 0 0 + 72x2 + x4 = 0 + -94400 72x2 + x4 = 0 + -94400 Combine like terms: 0 + -94400 = -94400 72x2 + x4 = -94400 The x term is 72x2. Take half its coefficient (36). Square it (1296) and add it to both sides. Add '1296' to each side of the equation. 72x2 + 1296 + x4 = -94400 + 1296 Reorder the terms: 1296 + 72x2 + x4 = -94400 + 1296 Combine like terms: -94400 + 1296 = -93104 1296 + 72x2 + x4 = -93104 Factor a perfect square on the left side: (x2 + 36)(x2 + 36) = -93104 Can't calculate square root of the right side. The solution to this equation could not be determined.
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