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Simplifying 26x4 + 24x2 + 9 = 0 Reorder the terms: 9 + 24x2 + 26x4 = 0 Solving 9 + 24x2 + 26x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 26 the coefficient of the squared term: Divide each side by '26'. 0.3461538462 + 0.9230769231x2 + x4 = 0 Move the constant term to the right: Add '-0.3461538462' to each side of the equation. 0.3461538462 + 0.9230769231x2 + -0.3461538462 + x4 = 0 + -0.3461538462 Reorder the terms: 0.3461538462 + -0.3461538462 + 0.9230769231x2 + x4 = 0 + -0.3461538462 Combine like terms: 0.3461538462 + -0.3461538462 = 0.0000000000 0.0000000000 + 0.9230769231x2 + x4 = 0 + -0.3461538462 0.9230769231x2 + x4 = 0 + -0.3461538462 Combine like terms: 0 + -0.3461538462 = -0.3461538462 0.9230769231x2 + x4 = -0.3461538462 The x term is 0.9230769231x2. Take half its coefficient (0.4615384616). Square it (0.2130177515) and add it to both sides. Add '0.2130177515' to each side of the equation. 0.9230769231x2 + 0.2130177515 + x4 = -0.3461538462 + 0.2130177515 Reorder the terms: 0.2130177515 + 0.9230769231x2 + x4 = -0.3461538462 + 0.2130177515 Combine like terms: -0.3461538462 + 0.2130177515 = -0.1331360947 0.2130177515 + 0.9230769231x2 + x4 = -0.1331360947 Factor a perfect square on the left side: (x2 + 0.4615384616)(x2 + 0.4615384616) = -0.1331360947 Can't calculate square root of the right side. The solution to this equation could not be determined.
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