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Simplifying 4x4 + -30x2 + 125 = 0 Reorder the terms: 125 + -30x2 + 4x4 = 0 Solving 125 + -30x2 + 4x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 31.25 + -7.5x2 + x4 = 0 Move the constant term to the right: Add '-31.25' to each side of the equation. 31.25 + -7.5x2 + -31.25 + x4 = 0 + -31.25 Reorder the terms: 31.25 + -31.25 + -7.5x2 + x4 = 0 + -31.25 Combine like terms: 31.25 + -31.25 = 0.00 0.00 + -7.5x2 + x4 = 0 + -31.25 -7.5x2 + x4 = 0 + -31.25 Combine like terms: 0 + -31.25 = -31.25 -7.5x2 + x4 = -31.25 The x term is -7.5x2. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x2 + 14.0625 + x4 = -31.25 + 14.0625 Reorder the terms: 14.0625 + -7.5x2 + x4 = -31.25 + 14.0625 Combine like terms: -31.25 + 14.0625 = -17.1875 14.0625 + -7.5x2 + x4 = -17.1875 Factor a perfect square on the left side: (x2 + -3.75)(x2 + -3.75) = -17.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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