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Simplifying 11x2 + 7x = -5 Reorder the terms: 7x + 11x2 = -5 Solving 7x + 11x2 = -5 Solving for variable 'x'. Reorder the terms: 5 + 7x + 11x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 7x + 11x2 = 0 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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