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Simplifying (5x4 + -2x2 + 2) = 0 Reorder the terms: (2 + -2x2 + 5x4) = 0 Remove parenthesis around (2 + -2x2 + 5x4) 2 + -2x2 + 5x4 = 0 Solving 2 + -2x2 + 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 + -0.4x2 + x4 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.4x2 + -0.4 + x4 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.4x2 + x4 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.4x2 + x4 = 0 + -0.4 -0.4x2 + x4 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.4x2 + x4 = -0.4 The x term is -0.4x2. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x2 + 0.04 + x4 = -0.4 + 0.04 Reorder the terms: 0.04 + -0.4x2 + x4 = -0.4 + 0.04 Combine like terms: -0.4 + 0.04 = -0.36 0.04 + -0.4x2 + x4 = -0.36 Factor a perfect square on the left side: (x2 + -0.2)(x2 + -0.2) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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