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Simplifying 8x4 + -18x2 + 45 = 0 Reorder the terms: 45 + -18x2 + 8x4 = 0 Solving 45 + -18x2 + 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'. 5.625 + -2.25x2 + x4 = 0 Move the constant term to the right: Add '-5.625' to each side of the equation. 5.625 + -2.25x2 + -5.625 + x4 = 0 + -5.625 Reorder the terms: 5.625 + -5.625 + -2.25x2 + x4 = 0 + -5.625 Combine like terms: 5.625 + -5.625 = 0.000 0.000 + -2.25x2 + x4 = 0 + -5.625 -2.25x2 + x4 = 0 + -5.625 Combine like terms: 0 + -5.625 = -5.625 -2.25x2 + x4 = -5.625 The x term is -2.25x2. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25x2 + 1.265625 + x4 = -5.625 + 1.265625 Reorder the terms: 1.265625 + -2.25x2 + x4 = -5.625 + 1.265625 Combine like terms: -5.625 + 1.265625 = -4.359375 1.265625 + -2.25x2 + x4 = -4.359375 Factor a perfect square on the left side: (x2 + -1.125)(x2 + -1.125) = -4.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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