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Simplifying (2x2 + -4x + 1) + (5x2 + 2x + 2) = 0 Reorder the terms: (1 + -4x + 2x2) + (5x2 + 2x + 2) = 0 Remove parenthesis around (1 + -4x + 2x2) 1 + -4x + 2x2 + (5x2 + 2x + 2) = 0 Reorder the terms: 1 + -4x + 2x2 + (2 + 2x + 5x2) = 0 Remove parenthesis around (2 + 2x + 5x2) 1 + -4x + 2x2 + 2 + 2x + 5x2 = 0 Reorder the terms: 1 + 2 + -4x + 2x + 2x2 + 5x2 = 0 Combine like terms: 1 + 2 = 3 3 + -4x + 2x + 2x2 + 5x2 = 0 Combine like terms: -4x + 2x = -2x 3 + -2x + 2x2 + 5x2 = 0 Combine like terms: 2x2 + 5x2 = 7x2 3 + -2x + 7x2 = 0 Solving 3 + -2x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.2857142857x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -0.2857142857x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -0.2857142857x + x2 = 0 + -0.4285714286 -0.2857142857x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -0.2857142857x + x2 = -0.4285714286 The x term is -0.2857142857x. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857x + 0.02040816328 + x2 = -0.4285714286 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -0.4285714286 + 0.02040816328 Combine like terms: -0.4285714286 + 0.02040816328 = -0.40816326532 0.02040816328 + -0.2857142857x + x2 = -0.40816326532 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -0.40816326532 Can't calculate square root of the right side. The solution to this equation could not be determined.
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