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Simplifying 11x2 = -9 + 10x Solving 11x2 = -9 + 10x Solving for variable 'x'. Reorder the terms: 9 + -10x + 11x2 = -9 + 10x + 9 + -10x Reorder the terms: 9 + -10x + 11x2 = -9 + 9 + 10x + -10x Combine like terms: -9 + 9 = 0 9 + -10x + 11x2 = 0 + 10x + -10x 9 + -10x + 11x2 = 10x + -10x Combine like terms: 10x + -10x = 0 9 + -10x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.8181818182 + -0.9090909091x + x2 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + -0.9090909091x + -0.8181818182 + x2 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + -0.9090909091x + x2 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + -0.9090909091x + x2 = 0 + -0.8181818182 -0.9090909091x + x2 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 -0.9090909091x + x2 = -0.8181818182 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 = -0.8181818182 + 0.2066115703 Reorder the terms: 0.2066115703 + -0.9090909091x + x2 = -0.8181818182 + 0.2066115703 Combine like terms: -0.8181818182 + 0.2066115703 = -0.6115702479 0.2066115703 + -0.9090909091x + x2 = -0.6115702479 Factor a perfect square on the left side: (x + -0.4545454546)(x + -0.4545454546) = -0.6115702479 Can't calculate square root of the right side. The solution to this equation could not be determined.
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