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Simplifying 9x4 + 5x2 + 25 = 0 Reorder the terms: 25 + 5x2 + 9x4 = 0 Solving 25 + 5x2 + 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'. 2.777777778 + 0.5555555556x2 + x4 = 0 Move the constant term to the right: Add '-2.777777778' to each side of the equation. 2.777777778 + 0.5555555556x2 + -2.777777778 + x4 = 0 + -2.777777778 Reorder the terms: 2.777777778 + -2.777777778 + 0.5555555556x2 + x4 = 0 + -2.777777778 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 0.000000000 + 0.5555555556x2 + x4 = 0 + -2.777777778 0.5555555556x2 + x4 = 0 + -2.777777778 Combine like terms: 0 + -2.777777778 = -2.777777778 0.5555555556x2 + x4 = -2.777777778 The x term is 0.5555555556x2. Take half its coefficient (0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. 0.5555555556x2 + 0.07716049384 + x4 = -2.777777778 + 0.07716049384 Reorder the terms: 0.07716049384 + 0.5555555556x2 + x4 = -2.777777778 + 0.07716049384 Combine like terms: -2.777777778 + 0.07716049384 = -2.70061728416 0.07716049384 + 0.5555555556x2 + x4 = -2.70061728416 Factor a perfect square on the left side: (x2 + 0.2777777778)(x2 + 0.2777777778) = -2.70061728416 Can't calculate square root of the right side. The solution to this equation could not be determined.
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