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Simplifying 8x4 + 7x2 + 5 = 0 Reorder the terms: 5 + 7x2 + 8x4 = 0 Solving 5 + 7x2 + 8x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 0.875x2 + x4 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.875x2 + -0.625 + x4 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.875x2 + x4 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.875x2 + x4 = 0 + -0.625 0.875x2 + x4 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.875x2 + x4 = -0.625 The x term is 0.875x2. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875x2 + 0.19140625 + x4 = -0.625 + 0.19140625 Reorder the terms: 0.19140625 + 0.875x2 + x4 = -0.625 + 0.19140625 Combine like terms: -0.625 + 0.19140625 = -0.43359375 0.19140625 + 0.875x2 + x4 = -0.43359375 Factor a perfect square on the left side: (x2 + 0.4375)(x2 + 0.4375) = -0.43359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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