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Simplifying 2 + 3x2 + 20x4 = 0 Solving 2 + 3x2 + 20x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.1 + 0.15x2 + x4 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + 0.15x2 + -0.1 + x4 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + 0.15x2 + x4 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.15x2 + x4 = 0 + -0.1 0.15x2 + x4 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 0.15x2 + x4 = -0.1 The x term is 0.15x2. Take half its coefficient (0.075). Square it (0.005625) and add it to both sides. Add '0.005625' to each side of the equation. 0.15x2 + 0.005625 + x4 = -0.1 + 0.005625 Reorder the terms: 0.005625 + 0.15x2 + x4 = -0.1 + 0.005625 Combine like terms: -0.1 + 0.005625 = -0.094375 0.005625 + 0.15x2 + x4 = -0.094375 Factor a perfect square on the left side: (x2 + 0.075)(x2 + 0.075) = -0.094375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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