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Simplifying (x2 + -5x + -2) + -1(-6x2 + -7x + -3) = 0 Reorder the terms: (-2 + -5x + x2) + -1(-6x2 + -7x + -3) = 0 Remove parenthesis around (-2 + -5x + x2) -2 + -5x + x2 + -1(-6x2 + -7x + -3) = 0 Reorder the terms: -2 + -5x + x2 + -1(-3 + -7x + -6x2) = 0 -2 + -5x + x2 + (-3 * -1 + -7x * -1 + -6x2 * -1) = 0 -2 + -5x + x2 + (3 + 7x + 6x2) = 0 Reorder the terms: -2 + 3 + -5x + 7x + x2 + 6x2 = 0 Combine like terms: -2 + 3 = 1 1 + -5x + 7x + x2 + 6x2 = 0 Combine like terms: -5x + 7x = 2x 1 + 2x + x2 + 6x2 = 0 Combine like terms: x2 + 6x2 = 7x2 1 + 2x + 7x2 = 0 Solving 1 + 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'. 0.1428571429 + 0.2857142857x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.2857142857x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.2857142857x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.2857142857x + x2 = 0 + -0.1428571429 0.2857142857x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.2857142857x + x2 = -0.1428571429 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 = -0.1428571429 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857x + x2 = -0.1428571429 + 0.02040816328 Combine like terms: -0.1428571429 + 0.02040816328 = -0.12244897962 0.02040816328 + 0.2857142857x + x2 = -0.12244897962 Factor a perfect square on the left side: (x + 0.1428571429)(x + 0.1428571429) = -0.12244897962 Can't calculate square root of the right side. The solution to this equation could not be determined.
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