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Simplifying (3x2 + -1x + -3) + -1(-4x2 + -2x + -4) = 0 Reorder the terms: (-3 + -1x + 3x2) + -1(-4x2 + -2x + -4) = 0 Remove parenthesis around (-3 + -1x + 3x2) -3 + -1x + 3x2 + -1(-4x2 + -2x + -4) = 0 Reorder the terms: -3 + -1x + 3x2 + -1(-4 + -2x + -4x2) = 0 -3 + -1x + 3x2 + (-4 * -1 + -2x * -1 + -4x2 * -1) = 0 -3 + -1x + 3x2 + (4 + 2x + 4x2) = 0 Reorder the terms: -3 + 4 + -1x + 2x + 3x2 + 4x2 = 0 Combine like terms: -3 + 4 = 1 1 + -1x + 2x + 3x2 + 4x2 = 0 Combine like terms: -1x + 2x = 1x 1 + 1x + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 1 + 1x + 7x2 = 0 Solving 1 + 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'. 0.1428571429 + 0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.1428571429x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.1428571429x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.1428571429x + x2 = 0 + -0.1428571429 0.1428571429x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.1428571429x + x2 = -0.1428571429 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 = -0.1428571429 + 0.005102040819 Reorder the terms: 0.005102040819 + 0.1428571429x + x2 = -0.1428571429 + 0.005102040819 Combine like terms: -0.1428571429 + 0.005102040819 = -0.137755102081 0.005102040819 + 0.1428571429x + x2 = -0.137755102081 Factor a perfect square on the left side: (x + 0.07142857145)(x + 0.07142857145) = -0.137755102081 Can't calculate square root of the right side. The solution to this equation could not be determined.
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