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Simplifying 11x2 + 10x + 12 = 0 Reorder the terms: 12 + 10x + 11x2 = 0 Solving 12 + 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'. 1.090909091 + 0.9090909091x + x2 = 0 Move the constant term to the right: Add '-1.090909091' to each side of the equation. 1.090909091 + 0.9090909091x + -1.090909091 + x2 = 0 + -1.090909091 Reorder the terms: 1.090909091 + -1.090909091 + 0.9090909091x + x2 = 0 + -1.090909091 Combine like terms: 1.090909091 + -1.090909091 = 0.000000000 0.000000000 + 0.9090909091x + x2 = 0 + -1.090909091 0.9090909091x + x2 = 0 + -1.090909091 Combine like terms: 0 + -1.090909091 = -1.090909091 0.9090909091x + x2 = -1.090909091 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 = -1.090909091 + 0.2066115703 Reorder the terms: 0.2066115703 + 0.9090909091x + x2 = -1.090909091 + 0.2066115703 Combine like terms: -1.090909091 + 0.2066115703 = -0.8842975207 0.2066115703 + 0.9090909091x + x2 = -0.8842975207 Factor a perfect square on the left side: (x + 0.4545454546)(x + 0.4545454546) = -0.8842975207 Can't calculate square root of the right side. The solution to this equation could not be determined.
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