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Simplifying 2x4 + -17x2 + 72 = 0 Reorder the terms: 72 + -17x2 + 2x4 = 0 Solving 72 + -17x2 + 2x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 36 + -8.5x2 + x4 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -8.5x2 + -36 + x4 = 0 + -36 Reorder the terms: 36 + -36 + -8.5x2 + x4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -8.5x2 + x4 = 0 + -36 -8.5x2 + x4 = 0 + -36 Combine like terms: 0 + -36 = -36 -8.5x2 + x4 = -36 The x term is -8.5x2. Take half its coefficient (-4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. -8.5x2 + 18.0625 + x4 = -36 + 18.0625 Reorder the terms: 18.0625 + -8.5x2 + x4 = -36 + 18.0625 Combine like terms: -36 + 18.0625 = -17.9375 18.0625 + -8.5x2 + x4 = -17.9375 Factor a perfect square on the left side: (x2 + -4.25)(x2 + -4.25) = -17.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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