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Simplifying 9x4 + -26x2 + 25 = 0 Reorder the terms: 25 + -26x2 + 9x4 = 0 Solving 25 + -26x2 + 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 + -2.888888889x2 + x4 = 0 Move the constant term to the right: Add '-2.777777778' to each side of the equation. 2.777777778 + -2.888888889x2 + -2.777777778 + x4 = 0 + -2.777777778 Reorder the terms: 2.777777778 + -2.777777778 + -2.888888889x2 + x4 = 0 + -2.777777778 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 0.000000000 + -2.888888889x2 + x4 = 0 + -2.777777778 -2.888888889x2 + x4 = 0 + -2.777777778 Combine like terms: 0 + -2.777777778 = -2.777777778 -2.888888889x2 + x4 = -2.777777778 The x term is -2.888888889x2. Take half its coefficient (-1.444444445). Square it (2.086419755) and add it to both sides. Add '2.086419755' to each side of the equation. -2.888888889x2 + 2.086419755 + x4 = -2.777777778 + 2.086419755 Reorder the terms: 2.086419755 + -2.888888889x2 + x4 = -2.777777778 + 2.086419755 Combine like terms: -2.777777778 + 2.086419755 = -0.691358023 2.086419755 + -2.888888889x2 + x4 = -0.691358023 Factor a perfect square on the left side: (x2 + -1.444444445)(x2 + -1.444444445) = -0.691358023 Can't calculate square root of the right side. The solution to this equation could not be determined.
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