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Simplifying 18x4 + -27x2 + 11 = 0 Reorder the terms: 11 + -27x2 + 18x4 = 0 Solving 11 + -27x2 + 18x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.6111111111 + -1.5x2 + x4 = 0 Move the constant term to the right: Add '-0.6111111111' to each side of the equation. 0.6111111111 + -1.5x2 + -0.6111111111 + x4 = 0 + -0.6111111111 Reorder the terms: 0.6111111111 + -0.6111111111 + -1.5x2 + x4 = 0 + -0.6111111111 Combine like terms: 0.6111111111 + -0.6111111111 = 0.0000000000 0.0000000000 + -1.5x2 + x4 = 0 + -0.6111111111 -1.5x2 + x4 = 0 + -0.6111111111 Combine like terms: 0 + -0.6111111111 = -0.6111111111 -1.5x2 + x4 = -0.6111111111 The x term is -1.5x2. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x2 + 0.5625 + x4 = -0.6111111111 + 0.5625 Reorder the terms: 0.5625 + -1.5x2 + x4 = -0.6111111111 + 0.5625 Combine like terms: -0.6111111111 + 0.5625 = -0.0486111111 0.5625 + -1.5x2 + x4 = -0.0486111111 Factor a perfect square on the left side: (x2 + -0.75)(x2 + -0.75) = -0.0486111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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