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Simplifying 0.4998x4 + -0.5x2 + 0.4998 = 0 Reorder the terms: 0.4998 + -0.5x2 + 0.4998x4 = 0 Solving 0.4998 + -0.5x2 + 0.4998x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.4998 the coefficient of the squared term: Divide each side by '0.4998'. 1 + -1.00040016x2 + x4 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.00040016x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -1.00040016x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.00040016x2 + x4 = 0 + -1 -1.00040016x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.00040016x2 + x4 = -1 The x term is -1.00040016x2. Take half its coefficient (-0.50020008). Square it (0.2502001200) and add it to both sides. Add '0.2502001200' to each side of the equation. -1.00040016x2 + 0.2502001200 + x4 = -1 + 0.2502001200 Reorder the terms: 0.2502001200 + -1.00040016x2 + x4 = -1 + 0.2502001200 Combine like terms: -1 + 0.2502001200 = -0.74979988 0.2502001200 + -1.00040016x2 + x4 = -0.74979988 Factor a perfect square on the left side: (x2 + -0.50020008)(x2 + -0.50020008) = -0.74979988 Can't calculate square root of the right side. The solution to this equation could not be determined.
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