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Simplifying (5x2 + -2x + -3) + -1(-2x2 + -3x + -6) = 0 Reorder the terms: (-3 + -2x + 5x2) + -1(-2x2 + -3x + -6) = 0 Remove parenthesis around (-3 + -2x + 5x2) -3 + -2x + 5x2 + -1(-2x2 + -3x + -6) = 0 Reorder the terms: -3 + -2x + 5x2 + -1(-6 + -3x + -2x2) = 0 -3 + -2x + 5x2 + (-6 * -1 + -3x * -1 + -2x2 * -1) = 0 -3 + -2x + 5x2 + (6 + 3x + 2x2) = 0 Reorder the terms: -3 + 6 + -2x + 3x + 5x2 + 2x2 = 0 Combine like terms: -3 + 6 = 3 3 + -2x + 3x + 5x2 + 2x2 = 0 Combine like terms: -2x + 3x = 1x 3 + 1x + 5x2 + 2x2 = 0 Combine like terms: 5x2 + 2x2 = 7x2 3 + 1x + 7x2 = 0 Solving 3 + 1x + 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 + 0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.1428571429x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.1428571429x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.1428571429x + x2 = 0 + -0.4285714286 0.1428571429x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.1428571429x + x2 = -0.4285714286 The x term is 0.1428571429x. Take half its coefficient (0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. 0.1428571429x + 0.005102040819 + x2 = -0.4285714286 + 0.005102040819 Reorder the terms: 0.005102040819 + 0.1428571429x + x2 = -0.4285714286 + 0.005102040819 Combine like terms: -0.4285714286 + 0.005102040819 = -0.423469387781 0.005102040819 + 0.1428571429x + x2 = -0.423469387781 Factor a perfect square on the left side: (x + 0.07142857145)(x + 0.07142857145) = -0.423469387781 Can't calculate square root of the right side. The solution to this equation could not be determined.
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