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Simplifying 11x2 + 9x + 5 = 0 Reorder the terms: 5 + 9x + 11x2 = 0 Solving 5 + 9x + 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'. 0.4545454545 + 0.8181818182x + x2 = 0 Move the constant term to the right: Add '-0.4545454545' to each side of the equation. 0.4545454545 + 0.8181818182x + -0.4545454545 + x2 = 0 + -0.4545454545 Reorder the terms: 0.4545454545 + -0.4545454545 + 0.8181818182x + x2 = 0 + -0.4545454545 Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000 0.0000000000 + 0.8181818182x + x2 = 0 + -0.4545454545 0.8181818182x + x2 = 0 + -0.4545454545 Combine like terms: 0 + -0.4545454545 = -0.4545454545 0.8181818182x + x2 = -0.4545454545 The x term is 0.8181818182x. Take half its coefficient (0.4090909091). Square it (0.1673553719) and add it to both sides. Add '0.1673553719' to each side of the equation. 0.8181818182x + 0.1673553719 + x2 = -0.4545454545 + 0.1673553719 Reorder the terms: 0.1673553719 + 0.8181818182x + x2 = -0.4545454545 + 0.1673553719 Combine like terms: -0.4545454545 + 0.1673553719 = -0.2871900826 0.1673553719 + 0.8181818182x + x2 = -0.2871900826 Factor a perfect square on the left side: (x + 0.4090909091)(x + 0.4090909091) = -0.2871900826 Can't calculate square root of the right side. The solution to this equation could not be determined.
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