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Simplifying 25x4 + -31x2 + 25 = 0 Reorder the terms: 25 + -31x2 + 25x4 = 0 Solving 25 + -31x2 + 25x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1 + -1.24x2 + x4 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.24x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -1.24x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.24x2 + x4 = 0 + -1 -1.24x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.24x2 + x4 = -1 The x term is -1.24x2. Take half its coefficient (-0.62). Square it (0.3844) and add it to both sides. Add '0.3844' to each side of the equation. -1.24x2 + 0.3844 + x4 = -1 + 0.3844 Reorder the terms: 0.3844 + -1.24x2 + x4 = -1 + 0.3844 Combine like terms: -1 + 0.3844 = -0.6156 0.3844 + -1.24x2 + x4 = -0.6156 Factor a perfect square on the left side: (x2 + -0.62)(x2 + -0.62) = -0.6156 Can't calculate square root of the right side. The solution to this equation could not be determined.
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