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Simplifying 11x2 + x = -5 Reorder the terms: x + 11x2 = -5 Solving x + 11x2 = -5 Solving for variable 'x'. Reorder the terms: 5 + x + 11x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.4545454545 + 0.09090909091x + x2 = 0 Move the constant term to the right: Add '-0.4545454545' to each side of the equation. 0.4545454545 + 0.09090909091x + -0.4545454545 + x2 = 0 + -0.4545454545 Reorder the terms: 0.4545454545 + -0.4545454545 + 0.09090909091x + x2 = 0 + -0.4545454545 Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000 0.0000000000 + 0.09090909091x + x2 = 0 + -0.4545454545 0.09090909091x + x2 = 0 + -0.4545454545 Combine like terms: 0 + -0.4545454545 = -0.4545454545 0.09090909091x + x2 = -0.4545454545 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.09090909091x + 0.25 + x2 = -0.4545454545 + 0.25 Reorder the terms: 0.25 + 0.09090909091x + x2 = -0.4545454545 + 0.25 Combine like terms: -0.4545454545 + 0.25 = -0.2045454545 0.25 + 0.09090909091x + x2 = -0.2045454545 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.2045454545 Can't calculate square root of the right side. The solution to this equation could not be determined.
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