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Simplifying 9x4 + -9x2 + 7 = 0 Reorder the terms: 7 + -9x2 + 9x4 = 0 Solving 7 + -9x2 + 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'. 0.7777777778 + -1x2 + x4 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -1x2 + -0.7777777778 + x4 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -1x2 + x4 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -1x2 + x4 = 0 + -0.7777777778 -1x2 + x4 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -1x2 + x4 = -0.7777777778 The x term is -1x2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x2 + 0.25 + x4 = -0.7777777778 + 0.25 Reorder the terms: 0.25 + -1x2 + x4 = -0.7777777778 + 0.25 Combine like terms: -0.7777777778 + 0.25 = -0.5277777778 0.25 + -1x2 + x4 = -0.5277777778 Factor a perfect square on the left side: (x2 + -0.5)(x2 + -0.5) = -0.5277777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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