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Simplifying 9x4 + -4x2 + 16 = 0 Reorder the terms: 16 + -4x2 + 9x4 = 0 Solving 16 + -4x2 + 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 + -0.4444444444x2 + x4 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + -0.4444444444x2 + -1.777777778 + x4 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + -0.4444444444x2 + x4 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + -0.4444444444x2 + x4 = 0 + -1.777777778 -0.4444444444x2 + x4 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 -0.4444444444x2 + x4 = -1.777777778 The x term is -0.4444444444x2. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444x2 + 0.04938271604 + x4 = -1.777777778 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444x2 + x4 = -1.777777778 + 0.04938271604 Combine like terms: -1.777777778 + 0.04938271604 = -1.72839506196 0.04938271604 + -0.4444444444x2 + x4 = -1.72839506196 Factor a perfect square on the left side: (x2 + -0.2222222222)(x2 + -0.2222222222) = -1.72839506196 Can't calculate square root of the right side. The solution to this equation could not be determined.
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