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Simplifying 4x4 + -41x2 + 144 = 0 Reorder the terms: 144 + -41x2 + 4x4 = 0 Solving 144 + -41x2 + 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'. 36 + -10.25x2 + x4 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -10.25x2 + -36 + x4 = 0 + -36 Reorder the terms: 36 + -36 + -10.25x2 + x4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -10.25x2 + x4 = 0 + -36 -10.25x2 + x4 = 0 + -36 Combine like terms: 0 + -36 = -36 -10.25x2 + x4 = -36 The x term is -10.25x2. Take half its coefficient (-5.125). Square it (26.265625) and add it to both sides. Add '26.265625' to each side of the equation. -10.25x2 + 26.265625 + x4 = -36 + 26.265625 Reorder the terms: 26.265625 + -10.25x2 + x4 = -36 + 26.265625 Combine like terms: -36 + 26.265625 = -9.734375 26.265625 + -10.25x2 + x4 = -9.734375 Factor a perfect square on the left side: (x2 + -5.125)(x2 + -5.125) = -9.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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