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Simplifying x + -4 = 7x2 + -1x + -1 Reorder the terms: -4 + x = 7x2 + -1x + -1 Reorder the terms: -4 + x = -1 + -1x + 7x2 Solving -4 + x = -1 + -1x + 7x2 Solving for variable 'x'. Reorder the terms: -4 + 1 + x + x + -7x2 = -1 + -1x + 7x2 + 1 + x + -7x2 Combine like terms: -4 + 1 = -3 -3 + x + x + -7x2 = -1 + -1x + 7x2 + 1 + x + -7x2 Combine like terms: x + x = 2x -3 + 2x + -7x2 = -1 + -1x + 7x2 + 1 + x + -7x2 Reorder the terms: -3 + 2x + -7x2 = -1 + 1 + -1x + x + 7x2 + -7x2 Combine like terms: -1 + 1 = 0 -3 + 2x + -7x2 = 0 + -1x + x + 7x2 + -7x2 -3 + 2x + -7x2 = -1x + x + 7x2 + -7x2 Combine like terms: -1x + x = 0 -3 + 2x + -7x2 = 0 + 7x2 + -7x2 -3 + 2x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -3 + 2x + -7x2 = 0 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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