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Simplifying 5x4 + 3x2 + 2 = 0 Reorder the terms: 2 + 3x2 + 5x4 = 0 Solving 2 + 3x2 + 5x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.6x2 + x4 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.6x2 + -0.4 + x4 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.6x2 + x4 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.6x2 + x4 = 0 + -0.4 0.6x2 + x4 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.6x2 + x4 = -0.4 The x term is 0.6x2. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x2 + 0.09 + x4 = -0.4 + 0.09 Reorder the terms: 0.09 + 0.6x2 + x4 = -0.4 + 0.09 Combine like terms: -0.4 + 0.09 = -0.31 0.09 + 0.6x2 + x4 = -0.31 Factor a perfect square on the left side: (x2 + 0.3)(x2 + 0.3) = -0.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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