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Simplifying (6x2 + -3x + -2) + (5x2 + -4x + 7) = 0 Reorder the terms: (-2 + -3x + 6x2) + (5x2 + -4x + 7) = 0 Remove parenthesis around (-2 + -3x + 6x2) -2 + -3x + 6x2 + (5x2 + -4x + 7) = 0 Reorder the terms: -2 + -3x + 6x2 + (7 + -4x + 5x2) = 0 Remove parenthesis around (7 + -4x + 5x2) -2 + -3x + 6x2 + 7 + -4x + 5x2 = 0 Reorder the terms: -2 + 7 + -3x + -4x + 6x2 + 5x2 = 0 Combine like terms: -2 + 7 = 5 5 + -3x + -4x + 6x2 + 5x2 = 0 Combine like terms: -3x + -4x = -7x 5 + -7x + 6x2 + 5x2 = 0 Combine like terms: 6x2 + 5x2 = 11x2 5 + -7x + 11x2 = 0 Solving 5 + -7x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.4545454545 + -0.6363636364x + x2 = 0 Move the constant term to the right: Add '-0.4545454545' to each side of the equation. 0.4545454545 + -0.6363636364x + -0.4545454545 + x2 = 0 + -0.4545454545 Reorder the terms: 0.4545454545 + -0.4545454545 + -0.6363636364x + x2 = 0 + -0.4545454545 Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000 0.0000000000 + -0.6363636364x + x2 = 0 + -0.4545454545 -0.6363636364x + x2 = 0 + -0.4545454545 Combine like terms: 0 + -0.4545454545 = -0.4545454545 -0.6363636364x + x2 = -0.4545454545 The x term is -0.6363636364x. Take half its coefficient (-0.3181818182). Square it (0.1012396694) and add it to both sides. Add '0.1012396694' to each side of the equation. -0.6363636364x + 0.1012396694 + x2 = -0.4545454545 + 0.1012396694 Reorder the terms: 0.1012396694 + -0.6363636364x + x2 = -0.4545454545 + 0.1012396694 Combine like terms: -0.4545454545 + 0.1012396694 = -0.3533057851 0.1012396694 + -0.6363636364x + x2 = -0.3533057851 Factor a perfect square on the left side: (x + -0.3181818182)(x + -0.3181818182) = -0.3533057851 Can't calculate square root of the right side. The solution to this equation could not be determined.
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