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Simplifying 11x2 = -10x + -11 Reorder the terms: 11x2 = -11 + -10x Solving 11x2 = -11 + -10x Solving for variable 'x'. Reorder the terms: 11 + 10x + 11x2 = -11 + -10x + 11 + 10x Reorder the terms: 11 + 10x + 11x2 = -11 + 11 + -10x + 10x Combine like terms: -11 + 11 = 0 11 + 10x + 11x2 = 0 + -10x + 10x 11 + 10x + 11x2 = -10x + 10x Combine like terms: -10x + 10x = 0 11 + 10x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1 + 0.9090909091x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.9090909091x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.9090909091x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.9090909091x + x2 = 0 + -1 0.9090909091x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.9090909091x + x2 = -1 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 + 0.2066115703 Reorder the terms: 0.2066115703 + 0.9090909091x + x2 = -1 + 0.2066115703 Combine like terms: -1 + 0.2066115703 = -0.7933884297 0.2066115703 + 0.9090909091x + x2 = -0.7933884297 Factor a perfect square on the left side: (x + 0.4545454546)(x + 0.4545454546) = -0.7933884297 Can't calculate square root of the right side. The solution to this equation could not be determined.
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