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Simplifying 9x4 + 18x2 + 16 = 0 Reorder the terms: 16 + 18x2 + 9x4 = 0 Solving 16 + 18x2 + 9x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + 2x2 + x4 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + 2x2 + -1.777777778 + x4 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + 2x2 + x4 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + 2x2 + x4 = 0 + -1.777777778 2x2 + x4 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 2x2 + x4 = -1.777777778 The x term is 2x2. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x2 + 1 + x4 = -1.777777778 + 1 Reorder the terms: 1 + 2x2 + x4 = -1.777777778 + 1 Combine like terms: -1.777777778 + 1 = -0.777777778 1 + 2x2 + x4 = -0.777777778 Factor a perfect square on the left side: (x2 + 1)(x2 + 1) = -0.777777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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