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Simplifying 11x2 + -10x + 60 = 0 Reorder the terms: 60 + -10x + 11x2 = 0 Solving 60 + -10x + 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'. 5.454545455 + -0.9090909091x + x2 = 0 Move the constant term to the right: Add '-5.454545455' to each side of the equation. 5.454545455 + -0.9090909091x + -5.454545455 + x2 = 0 + -5.454545455 Reorder the terms: 5.454545455 + -5.454545455 + -0.9090909091x + x2 = 0 + -5.454545455 Combine like terms: 5.454545455 + -5.454545455 = 0.000000000 0.000000000 + -0.9090909091x + x2 = 0 + -5.454545455 -0.9090909091x + x2 = 0 + -5.454545455 Combine like terms: 0 + -5.454545455 = -5.454545455 -0.9090909091x + x2 = -5.454545455 The x term is -0.9090909091x. Take half its coefficient (-0.4545454546). Square it (0.2066115703) and add it to both sides. Add '0.2066115703' to each side of the equation. -0.9090909091x + 0.2066115703 + x2 = -5.454545455 + 0.2066115703 Reorder the terms: 0.2066115703 + -0.9090909091x + x2 = -5.454545455 + 0.2066115703 Combine like terms: -5.454545455 + 0.2066115703 = -5.2479338847 0.2066115703 + -0.9090909091x + x2 = -5.2479338847 Factor a perfect square on the left side: (x + -0.4545454546)(x + -0.4545454546) = -5.2479338847 Can't calculate square root of the right side. The solution to this equation could not be determined.
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