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Simplifying -11x2 + 10x + -3 = 0 Reorder the terms: -3 + 10x + -11x2 = 0 Solving -3 + 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'. 0.2727272727 + -0.9090909091x + x2 = 0 Move the constant term to the right: Add '-0.2727272727' to each side of the equation. 0.2727272727 + -0.9090909091x + -0.2727272727 + x2 = 0 + -0.2727272727 Reorder the terms: 0.2727272727 + -0.2727272727 + -0.9090909091x + x2 = 0 + -0.2727272727 Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000 0.0000000000 + -0.9090909091x + x2 = 0 + -0.2727272727 -0.9090909091x + x2 = 0 + -0.2727272727 Combine like terms: 0 + -0.2727272727 = -0.2727272727 -0.9090909091x + x2 = -0.2727272727 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 = -0.2727272727 + 0.2066115703 Reorder the terms: 0.2066115703 + -0.9090909091x + x2 = -0.2727272727 + 0.2066115703 Combine like terms: -0.2727272727 + 0.2066115703 = -0.0661157024 0.2066115703 + -0.9090909091x + x2 = -0.0661157024 Factor a perfect square on the left side: (x + -0.4545454546)(x + -0.4545454546) = -0.0661157024 Can't calculate square root of the right side. The solution to this equation could not be determined.
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