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Simplifying 2x4 + 18x2 + 243 = 0 Reorder the terms: 243 + 18x2 + 2x4 = 0 Solving 243 + 18x2 + 2x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 121.5 + 9x2 + x4 = 0 Move the constant term to the right: Add '-121.5' to each side of the equation. 121.5 + 9x2 + -121.5 + x4 = 0 + -121.5 Reorder the terms: 121.5 + -121.5 + 9x2 + x4 = 0 + -121.5 Combine like terms: 121.5 + -121.5 = 0.0 0.0 + 9x2 + x4 = 0 + -121.5 9x2 + x4 = 0 + -121.5 Combine like terms: 0 + -121.5 = -121.5 9x2 + x4 = -121.5 The x term is 9x2. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x2 + 20.25 + x4 = -121.5 + 20.25 Reorder the terms: 20.25 + 9x2 + x4 = -121.5 + 20.25 Combine like terms: -121.5 + 20.25 = -101.25 20.25 + 9x2 + x4 = -101.25 Factor a perfect square on the left side: (x2 + 4.5)(x2 + 4.5) = -101.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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