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Simplifying 2x4 + 5x2 + 9 = 0 Reorder the terms: 9 + 5x2 + 2x4 = 0 Solving 9 + 5x2 + 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'. 4.5 + 2.5x2 + x4 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 2.5x2 + -4.5 + x4 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 2.5x2 + x4 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 2.5x2 + x4 = 0 + -4.5 2.5x2 + x4 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 2.5x2 + x4 = -4.5 The x term is 2.5x2. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x2 + 1.5625 + x4 = -4.5 + 1.5625 Reorder the terms: 1.5625 + 2.5x2 + x4 = -4.5 + 1.5625 Combine like terms: -4.5 + 1.5625 = -2.9375 1.5625 + 2.5x2 + x4 = -2.9375 Factor a perfect square on the left side: (x2 + 1.25)(x2 + 1.25) = -2.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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