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Simplifying 11x2 + -1x = -7 Reorder the terms: -1x + 11x2 = -7 Solving -1x + 11x2 = -7 Solving for variable 'x'. Reorder the terms: 7 + -1x + 11x2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -1x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.6363636364 + -0.09090909091x + x2 = 0 Move the constant term to the right: Add '-0.6363636364' to each side of the equation. 0.6363636364 + -0.09090909091x + -0.6363636364 + x2 = 0 + -0.6363636364 Reorder the terms: 0.6363636364 + -0.6363636364 + -0.09090909091x + x2 = 0 + -0.6363636364 Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000 0.0000000000 + -0.09090909091x + x2 = 0 + -0.6363636364 -0.09090909091x + x2 = 0 + -0.6363636364 Combine like terms: 0 + -0.6363636364 = -0.6363636364 -0.09090909091x + x2 = -0.6363636364 The x term is -0.09090909091x. Take half its coefficient (-0.04545454546). Square it (0.002066115703) and add it to both sides. Add '0.002066115703' to each side of the equation. -0.09090909091x + 0.002066115703 + x2 = -0.6363636364 + 0.002066115703 Reorder the terms: 0.002066115703 + -0.09090909091x + x2 = -0.6363636364 + 0.002066115703 Combine like terms: -0.6363636364 + 0.002066115703 = -0.634297520697 0.002066115703 + -0.09090909091x + x2 = -0.634297520697 Factor a perfect square on the left side: (x + -0.04545454546)(x + -0.04545454546) = -0.634297520697 Can't calculate square root of the right side. The solution to this equation could not be determined.
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