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Simplifying 11x2 + 11 = 7x Reorder the terms: 11 + 11x2 = 7x Solving 11 + 11x2 = 7x Solving for variable 'x'. Reorder the terms: 11 + -7x + 11x2 = 7x + -7x Combine like terms: 7x + -7x = 0 11 + -7x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1 + -0.6363636364x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.6363636364x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.6363636364x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.6363636364x + x2 = 0 + -1 -0.6363636364x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.6363636364x + x2 = -1 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 = -1 + 0.1012396694 Reorder the terms: 0.1012396694 + -0.6363636364x + x2 = -1 + 0.1012396694 Combine like terms: -1 + 0.1012396694 = -0.8987603306 0.1012396694 + -0.6363636364x + x2 = -0.8987603306 Factor a perfect square on the left side: (x + -0.3181818182)(x + -0.3181818182) = -0.8987603306 Can't calculate square root of the right side. The solution to this equation could not be determined.
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